Algebra Examples

Solve Using the Quadratic Formula 6x^2-6x-2=0
6x2-6x-2=0
Step 1
Use the quadratic formula to find the solutions.
-b±b2-4(ac)2a
Step 2
Substitute the values a=6, b=-6, and c=-2 into the quadratic formula and solve for x.
6±(-6)2-4(6-2)26
Step 3
Simplify.
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Step 3.1
Simplify the numerator.
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Step 3.1.1
Raise -6 to the power of 2.
x=6±36-46-226
Step 3.1.2
Multiply -46-2.
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Step 3.1.2.1
Multiply -4 by 6.
x=6±36-24-226
Step 3.1.2.2
Multiply -24 by -2.
x=6±36+4826
x=6±36+4826
Step 3.1.3
Add 36 and 48.
x=6±8426
Step 3.1.4
Rewrite 84 as 2221.
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Step 3.1.4.1
Factor 4 out of 84.
x=6±4(21)26
Step 3.1.4.2
Rewrite 4 as 22.
x=6±222126
x=6±222126
Step 3.1.5
Pull terms out from under the radical.
x=6±22126
x=6±22126
Step 3.2
Multiply 2 by 6.
x=6±22112
Step 3.3
Simplify 6±22112.
x=3±216
x=3±216
Step 4
The result can be shown in multiple forms.
Exact Form:
x=3±216
Decimal Form:
x=1.26376261,-0.26376261
6x2-6x-2=0
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