Algebra Examples

Solve Using the Quadratic Formula x^2=64
x2=64
Step 1
Subtract 64 from both sides of the equation.
x2-64=0
Step 2
Use the quadratic formula to find the solutions.
-b±b2-4(ac)2a
Step 3
Substitute the values a=1, b=0, and c=-64 into the quadratic formula and solve for x.
0±02-4(1-64)21
Step 4
Simplify.
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Step 4.1
Simplify the numerator.
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Step 4.1.1
Raising 0 to any positive power yields 0.
x=0±0-41-6421
Step 4.1.2
Multiply -41-64.
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Step 4.1.2.1
Multiply -4 by 1.
x=0±0-4-6421
Step 4.1.2.2
Multiply -4 by -64.
x=0±0+25621
x=0±0+25621
Step 4.1.3
Add 0 and 256.
x=0±25621
Step 4.1.4
Rewrite 256 as 162.
x=0±16221
Step 4.1.5
Pull terms out from under the radical, assuming positive real numbers.
x=0±1621
x=0±1621
Step 4.2
Multiply 2 by 1.
x=0±162
Step 4.3
Simplify 0±162.
x=±8
x=±8
Step 5
The final answer is the combination of both solutions.
x=8,-8
x2=64
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