Solve Using the Square Root Property 5x^2-9x-17=0

Math
5×2-9x-17=0
Use the quadratic formula to find the solutions.
-b±b2-4(ac)2a
Substitute the values a=5, b=-9, and c=-17 into the quadratic formula and solve for x.
9±(-9)2-4⋅(5⋅-17)2⋅5
Simplify.
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Simplify the numerator.
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Raise -9 to the power of 2.
x=9±81-4⋅(5⋅-17)2⋅5
Multiply 5 by -17.
x=9±81-4⋅-852⋅5
Multiply -4 by -85.
x=9±81+3402⋅5
Add 81 and 340.
x=9±4212⋅5
x=9±4212⋅5
Multiply 2 by 5.
x=9±42110
x=9±42110
Simplify the expression to solve for the + portion of the ±.
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Simplify the numerator.
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Raise -9 to the power of 2.
x=9±81-4⋅(5⋅-17)2⋅5
Multiply 5 by -17.
x=9±81-4⋅-852⋅5
Multiply -4 by -85.
x=9±81+3402⋅5
Add 81 and 340.
x=9±4212⋅5
x=9±4212⋅5
Multiply 2 by 5.
x=9±42110
Change the ± to +.
x=9+42110
x=9+42110
Simplify the expression to solve for the – portion of the ±.
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Simplify the numerator.
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Raise -9 to the power of 2.
x=9±81-4⋅(5⋅-17)2⋅5
Multiply 5 by -17.
x=9±81-4⋅-852⋅5
Multiply -4 by -85.
x=9±81+3402⋅5
Add 81 and 340.
x=9±4212⋅5
x=9±4212⋅5
Multiply 2 by 5.
x=9±42110
Change the ± to -.
x=9-42110
x=9-42110
The final answer is the combination of both solutions.
x=9+42110,9-42110
The result can be shown in multiple forms.
Exact Form:
x=9+42110,9-42110
Decimal Form:
x=2.95182845…,-1.15182845…
Solve Using the Square Root Property 5x^2-9x-17=0

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