Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
5201	Simplify	( square root of 11+ square root of 13)/2	$\frac{\sqrt{11} + \sqrt{13}}{2}$
5202	Find the Vertex	f(x)=25-x^2	$f (x) = 25 - x^{2}$
5203	Find the Vertex	f(x)=2x-x^2-2	$f (x) = 2 x - x^{2} - 2$
5204	Find the Vertex	f(x)=3(x+1)^2-4	$f (x) = 3 {(x + 1)}^{2} - 4$
5205	Find the Vertex	f(x)=3(x-2)^2-3	$f (x) = 3 {(x - 2)}^{2} - 3$
5206	Find the Vertex	f(x)=-3x^2-30x+31	$f (x) = - 3 x^{2} - 30 x + 31$
5207	Find the Vertex	f(x)=3x^2-18x+25	$f (x) = 3 x^{2} - 18 x + 25$
5208	Find the Vertex	f(x)=3x^2-18x+26	$f (x) = 3 x^{2} - 18 x + 26$
5209	Solve for x	natural log of x+ natural log of x+5 = natural log of 14	$\ln (x) + \ln (x + 5) = \ln (14)$
5210	Find the Vertex	f(x)=3x^2-12x+16	$f (x) = 3 x^{2} - 12 x + 16$
5211	Find the Vertex	f(x)=-3(x-2)^2+12	$f (x) = - 3 {(x - 2)}^{2} + 12$
5212	Find the Vertex	f(x)=3x^2+12x+9	$f (x) = 3 x^{2} + 12 x + 9$
5213	Find the Vertex	f(x)=3x^2+12x+7	$f (x) = 3 x^{2} + 12 x + 7$
5214	Find the Vertex	f(x)=-3x^2+18x-29	$f (x) = - 3 x^{2} + 18 x - 29$
5215	Find the Vertex	f(x)=3x^2+6x-9	$f (x) = 3 x^{2} + 6 x - 9$
5216	Find the Vertex	f(x)=3x^2+4x-3	$f (x) = 3 x^{2} + 4 x - 3$
5217	Find the Vertex	f(x)=-3x^2+2x-1	$f (x) = - 3 x^{2} + 2 x - 1$
5218	Find the Vertex	f(x)=1/2x^2	$f (x) = \frac{1}{2} x^{2}$
5219	Find the Vertex	f(x)=(x-4)^2-4	$f (x) = {(x - 4)}^{2} - 4$
5220	Find the Vertex	f(x)=(x-5)^2+10	$f (x) = {(x - 5)}^{2} + 10$
5221	Find the Vertex	f(x)=(x-5)^2-9	$f (x) = {(x - 5)}^{2} - 9$
5222	Find the Vertex	f(x)=(x-7)^2	$f (x) = {(x - 7)}^{2}$
5223	Find the Vertex	f(x)=-5x^2-40x-78	$f (x) = - 5 x^{2} - 40 x - 78$
5224	Find the Vertex	f(x)=-1/2x^2+7x-9	$f (x) = - \frac{1}{2} x^{2} + 7 x - 9$
5225	Find the Vertex	f(x)=1/2x^2+x-1	$f (x) = \frac{1}{2} x^{2} + x - 1$
5226	Find the Vertex	f(x)=-2(x-3)^2+1	$f (x) = - 2 {(x - 3)}^{2} + 1$
5227	Find the Vertex	f(x)=7/4*(x-1)^2-3	$f (x) = \frac{7}{4} \cdot {(x - 1)}^{2} - 3$
5228	Find the Vertex	f(x)=x^2+1	$f (x) = x^{2} + 1$
5229	Find the Vertex	f(x)=x^2+38x	$f (x) = x^{2} + 38 x$
5230	Find the Vertex	f(x)=x^2+3x+2	$f (x) = x^{2} + 3 x + 2$
5231	Find the Vertex	f(x)=-x^2+2x-3	$f (x) = - x^{2} + 2 x - 3$
5232	Find the Vertex	f(x)=-x^2+2x-6	$f (x) = - x^{2} + 2 x - 6$
5233	Find the Vertex	f(x)=x^2+3x+1/4	$f (x) = x^{2} + 3 x + \frac{1}{4}$
5234	Find the Vertex	f(x)=x^2+4x-32	$f (x) = x^{2} + 4 x - 32$
5235	Find the Vertex	f(x)=x^2+4x-12	$f (x) = x^{2} + 4 x - 12$
5236	Find the Vertex	f(x)=6/5*(x^2+2x-5)	$f (x) = \frac{6}{5} \cdot (x^{2} + 2 x - 5)$
5237	Find the Vertex	f(x)=-x^2+12x	$f (x) = - x^{2} + 12 x$
5238	Find the Vertex	f(x)=x^2+12x+6	$f (x) = x^{2} + 12 x + 6$
5239	Find the Vertex	f(x)=x^2+12x+9	$f (x) = x^{2} + 12 x + 9$
5240	Find the Vertex	f(x)=x^2+10x+24	$f (x) = x^{2} + 10 x + 24$
5241	Find the Vertex	f(x)=x^2+14x+49	$f (x) = x^{2} + 14 x + 49$
5242	Find the Vertex	f(x)=x^2+14x+54	$f (x) = x^{2} + 14 x + 54$
5243	Find the Vertex	f(x)=x^2-10x-11	$f (x) = x^{2} - 10 x - 11$
5244	Find the Vertex	f(x)=-x^2-14x+7	$f (x) = - x^{2} - 14 x + 7$
5245	Find the Vertex	f(x)=x^2-10x-9	$f (x) = x^{2} - 10 x - 9$
5246	Find the Vertex	f(x)=x^2+8x+7	$f (x) = x^{2} + 8 x + 7$
5247	Find the Vertex	f(x)=x^2+8x+11	$f (x) = x^{2} + 8 x + 11$
5248	Solve the Function Operation	f(x)>0	$f (x) > 0$
5249	Find the Vertex	f(x)=-x^2+8x-12	$f (x) = - x^{2} + 8 x - 12$
5250	Find the Vertex	f(x)=-x^2+8x-19	$f (x) = - x^{2} + 8 x - 19$
5251	Find the Vertex	f(x)=x^2-10	$f (x) = x^{2} - 10$
5252	Find the Vertex	f(x)=-x^2+4x-6	$f (x) = - x^{2} + 4 x - 6$
5253	Solve for ?	cos(2theta)=-( square root of 3)/2	$\cos (2 θ) = - \frac{\sqrt{3}}{2}$
5254	Find the Vertex	f(x)=-x^2+4x-5	$f (x) = - x^{2} + 4 x - 5$
5255	Find the Vertex	f(x)=x^2+4x-7	$f (x) = x^{2} + 4 x - 7$
5256	Find the Vertex	f(x)=x^2+6x	$f (x) = x^{2} + 6 x$
5257	Find the Vertex	f(x)=x^2+5x+4	$f (x) = x^{2} + 5 x + 4$
5258	Find the Vertex	f(x)=x^2+6x+14	$f (x) = x^{2} + 6 x + 14$
5259	Find the Vertex	f(x)=-x^2+6x-12	$f (x) = - x^{2} + 6 x - 12$
5260	Find the Vertex	f(x)=x^2+6x-40	$f (x) = x^{2} + 6 x - 40$
5261	Find the Focus	x^2=12y	$x^{2} = 12 y$
5262	Find the Vertex	f(x)=x^2+7	$f (x) = x^{2} + 7$
5263	Find the Vertex	f(x)=x^2-14x+53	$f (x) = x^{2} - 14 x + 53$
5264	Find the Vertex	f(x)=-x^2-2x+8	$f (x) = - x^{2} - 2 x + 8$
5265	Find the Vertex	f(x)=x^2+8x-18	$f (x) = x^{2} + 8 x - 18$
5266	Find the Vertex	f(x)=-x^2-4x+10	$f (x) = - x^{2} - 4 x + 10$
5267	Find the Vertex	f(x)=x^2-5x-6	$f (x) = x^{2} - 5 x - 6$
5268	Find the Roots/Zeros Using the Rational Roots Test	f(x)=x^3-2x^2-25x+50	$f (x) = x^{3} - 2 x^{2} - 25 x + 50$
5269	Find the Vertex	f(x)=-x^2-4x+5	$f (x) = - x^{2} - 4 x + 5$
5270	Find the Vertex	f(x)=-x^2-6x-5	$f (x) = - x^{2} - 6 x - 5$
5271	Find the Vertex	f(x)=x^2-6x-7	$f (x) = x^{2} - 6 x - 7$
5272	Find the Vertex	f(x)=-x^2-6x+2	$f (x) = - x^{2} - 6 x + 2$
5273	Find the Midpoint	(1,5) , (-7,6)	$(1, 5) (- 7, 6)$
5274	Find the Maximum/Minimum Value	g(x)=2x^2+4x+3	$g (x) = 2 x^{2} + 4 x + 3$
5275	Find the Midpoint	(1,8) , (5,2)	$(1, 8)$ , $(5, 2)$
5276	Find the Midpoint	(-2,0) , (0,-2)	$(- 2, 0) (0, - 2)$
5277	Find the Midpoint	(2,10) , (10,2)	$(2, 10)$ , $(10, 2)$
5278	Find the Midpoint	(-2,-3) , (-8,7)	$(- 2, - 3) (- 8, 7)$
5279	Find the Maximum/Minimum Value	R(x)=-25x^2+2200x+30000	$R (x) = - 25 x^{2} + 2200 x + 30000$
5280	Find the Maximum/Minimum Value	R(x)=384x-0.8x^2	$R (x) = 384 x - 0.8 x^{2}$
5281	Find the Midpoint	(-8/3,11/3) , (-11/3,1/3)	$(- \frac{8}{3}, \frac{11}{3}) (- \frac{11}{3}, \frac{1}{3})$
5282	Find the Midpoint	(1.7,-3) , (2,-2.6)	$(1.7, - 3) (2, - 2.6)$
5283	Find the Midpoint	(-2,6) , (8,-4)	$(- 2, 6) (8, - 4)$
5284	Find the Midpoint	(-3,1) , (5,6)	$(- 3, 1) (5, 6)$
5285	Find the Midpoint	(3,-4) , (5,4)	$(3, - 4) (5, 4)$
5286	Find the Midpoint	(-4,1) , (-4,9)	$(- 4, 1) (- 4, 9)$
5287	Find the Midpoint	(4,-3) , (6,1)	$(4, - 3) (6, 1)$
5288	Find the Maximum/Minimum Value	h(t)=-16t^2+48t+32	$h (t) = - 16 t^{2} + 48 t + 32$
5289	Find the Maximum/Minimum Value	h(x)=3x^2+6x-2	$h (x) = 3 x^{2} + 6 x - 2$
5290	Find the Maximum/Minimum Value	p(x)=(x+5)^2-4	$p (x) = {(x + 5)}^{2} - 4$
5291	Find the Maximum/Minimum Value	g(x)=2x^2+6x+3	$g (x) = 2 x^{2} + 6 x + 3$
5292	Find the Maximum/Minimum Value	h(t)=-16t^2+70t+2	$h (t) = - 16 t^{2} + 70 t + 2$
5293	Find the Maximum/Minimum Value	y=-1/16x^2+6x+5	$y = - \frac{1}{16} x^{2} + 6 x + 5$
5294	Find the Maximum/Minimum Value	y=x^2-6x-1	$y = x^{2} - 6 x - 1$
5295	Find the Maximum/Minimum Value	y=0.007x^2-0.485x+19.525	$y = 0.007 x^{2} - 0.485 x + 19.525$
5296	Find the Maximum/Minimum Value	y=-2x^2+450x	$y = - 2 x^{2} + 450 x$
5297	Find the Maximum/Minimum Value	f(x)=5x^2+30x+4	$f (x) = 5 x^{2} + 30 x + 4$
5298	Find the Maximum/Minimum Value	f(x)=9x^2-18x+1	$f (x) = 9 x^{2} - 18 x + 1$
5299	Find the Maximum/Minimum Value	f(x)=9x^2-9x	$f (x) = 9 x^{2} - 9 x$
5300	Find the Maximum/Minimum Value	f(x)=3x^2-6x-2	$f (x) = 3 x^{2} - 6 x - 2$