Solve Using the Square Root Property x^2+6x-100=0

Math
x2+6x-100=0
Use the quadratic formula to find the solutions.
-b±b2-4(ac)2a
Substitute the values a=1, b=6, and c=-100 into the quadratic formula and solve for x.
-6±62-4⋅(1⋅-100)2⋅1
Simplify.
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Simplify the numerator.
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Raise 6 to the power of 2.
x=-6±36-4⋅(1⋅-100)2⋅1
Multiply -100 by 1.
x=-6±36-4⋅-1002⋅1
Multiply -4 by -100.
x=-6±36+4002⋅1
Add 36 and 400.
x=-6±4362⋅1
Rewrite 436 as 22⋅109.
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Factor 4 out of 436.
x=-6±4(109)2⋅1
Rewrite 4 as 22.
x=-6±22⋅1092⋅1
x=-6±22⋅1092⋅1
Pull terms out from under the radical.
x=-6±21092⋅1
x=-6±21092⋅1
Multiply 2 by 1.
x=-6±21092
Simplify -6±21092.
x=-3±109
x=-3±109
Simplify the expression to solve for the + portion of the ±.
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Simplify the numerator.
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Raise 6 to the power of 2.
x=-6±36-4⋅(1⋅-100)2⋅1
Multiply -100 by 1.
x=-6±36-4⋅-1002⋅1
Multiply -4 by -100.
x=-6±36+4002⋅1
Add 36 and 400.
x=-6±4362⋅1
Rewrite 436 as 22⋅109.
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Factor 4 out of 436.
x=-6±4(109)2⋅1
Rewrite 4 as 22.
x=-6±22⋅1092⋅1
x=-6±22⋅1092⋅1
Pull terms out from under the radical.
x=-6±21092⋅1
x=-6±21092⋅1
Multiply 2 by 1.
x=-6±21092
Simplify -6±21092.
x=-3±109
Change the ± to +.
x=-3+109
x=-3+109
Simplify the expression to solve for the – portion of the ±.
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Simplify the numerator.
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Raise 6 to the power of 2.
x=-6±36-4⋅(1⋅-100)2⋅1
Multiply -100 by 1.
x=-6±36-4⋅-1002⋅1
Multiply -4 by -100.
x=-6±36+4002⋅1
Add 36 and 400.
x=-6±4362⋅1
Rewrite 436 as 22⋅109.
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Factor 4 out of 436.
x=-6±4(109)2⋅1
Rewrite 4 as 22.
x=-6±22⋅1092⋅1
x=-6±22⋅1092⋅1
Pull terms out from under the radical.
x=-6±21092⋅1
x=-6±21092⋅1
Multiply 2 by 1.
x=-6±21092
Simplify -6±21092.
x=-3±109
Change the ± to -.
x=-3-109
x=-3-109
The final answer is the combination of both solutions.
x=-3+109,-3-109
The result can be shown in multiple forms.
Exact Form:
x=-3+109,-3-109
Decimal Form:
x=7.44030650…,-13.44030650…
Solve Using the Square Root Property x^2+6x-100=0

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