Algebra Examples

Solve Using the Quadratic Formula x^2-60=0
x2-60=0
Step 1
Use the quadratic formula to find the solutions.
-b±b2-4(ac)2a
Step 2
Substitute the values a=1, b=0, and c=-60 into the quadratic formula and solve for x.
0±02-4(1-60)21
Step 3
Simplify.
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Step 3.1
Simplify the numerator.
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Step 3.1.1
Raising 0 to any positive power yields 0.
x=0±0-41-6021
Step 3.1.2
Multiply -41-60.
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Step 3.1.2.1
Multiply -4 by 1.
x=0±0-4-6021
Step 3.1.2.2
Multiply -4 by -60.
x=0±0+24021
x=0±0+24021
Step 3.1.3
Add 0 and 240.
x=0±24021
Step 3.1.4
Rewrite 240 as 4215.
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Step 3.1.4.1
Factor 16 out of 240.
x=0±16(15)21
Step 3.1.4.2
Rewrite 16 as 42.
x=0±421521
x=0±421521
Step 3.1.5
Pull terms out from under the radical.
x=0±41521
x=0±41521
Step 3.2
Multiply 2 by 1.
x=0±4152
Step 3.3
Simplify 0±4152.
x=±215
x=±215
Step 4
The result can be shown in multiple forms.
Exact Form:
x=±215
Decimal Form:
x=7.74596669,-7.74596669
x2-60=0
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