What are the solutions to the equation 8x-65=-x^2 ?

The solutions to the equation 8x-65=-x^2 are x=-13,x=5

Find the zeros of 8x-65=-x^2

The zeros of 8x-65=-x^2 are x=-13,x=5

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8 x - 65 = - x^{2}

x = - 13, x = 5

Solution steps

8 x - 65 = - x^{2}

Switch sides

- x^{2} = 8 x - 65

Move

65

to the left side

- x^{2} + 65 = 8 x

Move

8 x

to the left side

- x^{2} + 65 - 8 x = 0

Write in the standard form

a x^{2} + b x + c = 0

- x^{2} - 8 x + 65 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 8 ) \pm ( - 8 ) ^{2} - 4 ( - 1 ) \cdot 65}{2 ( - 1 )}

(- 8)^{2} - 4 (- 1) \cdot 65 = 18

x_{1, 2} = \frac{- ( - 8 ) \pm 18}{2 ( - 1 )}

Separate the solutions

x_{1} = \frac{- ( - 8 ) + 18}{2 ( - 1 )}, x_{2} = \frac{- ( - 8 ) - 18}{2 ( - 1 )}

x = \frac{- ( - 8 ) + 18}{2 ( - 1 )} : - 13

x = \frac{- ( - 8 ) - 18}{2 ( - 1 )} : 5

The solutions to the quadratic equation are:

x = - 13, x = 5

\frac{1}{5} - \frac{1}{4}

5^{- 4}

(\frac{3}{2})^{4}

\frac{2}{5} - \frac{7}{2} x + \frac{1}{2} (x + \frac{1}{3}) = \frac{5}{2} + x

150000 \cdot \frac{1}{3}

What are the solutions to the equation 8x-65=-x^2 ?
The solutions to the equation 8x-65=-x^2 are x=-13,x=5
Find the zeros of 8x-65=-x^2
The zeros of 8x-65=-x^2 are x=-13,x=5