Algebra Examples

Solve Using the Quadratic Formula x^2-x+1=0
x2-x+1=0
Step 1
Use the quadratic formula to find the solutions.
-b±b2-4(ac)2a
Step 2
Substitute the values a=1, b=-1, and c=1 into the quadratic formula and solve for x.
1±(-1)2-4(11)21
Step 3
Simplify.
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Step 3.1
Simplify the numerator.
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Step 3.1.1
Raise -1 to the power of 2.
x=1±1-41121
Step 3.1.2
Multiply -411.
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Step 3.1.2.1
Multiply -4 by 1.
x=1±1-4121
Step 3.1.2.2
Multiply -4 by 1.
x=1±1-421
x=1±1-421
Step 3.1.3
Subtract 4 from 1.
x=1±-321
Step 3.1.4
Rewrite -3 as -1(3).
x=1±-1321
Step 3.1.5
Rewrite -1(3) as -13.
x=1±-1321
Step 3.1.6
Rewrite -1 as i.
x=1±i321
x=1±i321
Step 3.2
Multiply 2 by 1.
x=1±i32
x=1±i32
x2-x+1=0
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