What are the solutions to the equation solvefor x,f=x^2-8x-m ?

The solutions to the equation solvefor x,f=x^2-8x-m are x=4+sqrt(f+m+16),x=4-sqrt(f+m+16)

Find the zeros of solvefor x,f=x^2-8x-m

The zeros of solvefor x,f=x^2-8x-m are x=4+sqrt(f+m+16),x=4-sqrt(f+m+16)

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solve for

x, f = x^{2} - 8 x - m

x = 4 + f + m + 16, x = 4 - f + m + 16

Solution steps

f = x^{2} - 8 x - m

Switch sides

x^{2} - 8 x - m = f

Move

f

to the left side

x^{2} - 8 x - m - f = 0

Solve with the quadratic formula

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

Simplify

(- 8)^{2} - 4 \cdot 1 \cdot (- m - f) : 2 16 + m + f

x_{1, 2} = \frac{- ( - 8 ) \pm 2 16 + m + f}{2 \cdot 1}

Separate the solutions

x_{1} = \frac{- ( - 8 ) + 2 16 + m + f}{2 \cdot 1}, x_{2} = \frac{- ( - 8 ) - 2 16 + m + f}{2 \cdot 1}

x = \frac{- ( - 8 ) + 2 16 + m + f}{2 \cdot 1} : 4 + f + m + 16

x = \frac{- ( - 8 ) - 2 16 + m + f}{2 \cdot 1} : 4 - f + m + 16

The solutions to the quadratic equation are:

x = 4 + f + m + 16, x = 4 - f + m + 16

(m + 5) (m + 2) = 0

8 x^{2} = 16 x

8 x^{2} = 128

x, 9 x^{2} y - 4 x y^{2} = 0

12 x^{2} = 60

What are the solutions to the equation solvefor x,f=x^2-8x-m ?
The solutions to the equation solvefor x,f=x^2-8x-m are x=4+sqrt(f+m+16),x=4-sqrt(f+m+16)
Find the zeros of solvefor x,f=x^2-8x-m
The zeros of solvefor x,f=x^2-8x-m are x=4+sqrt(f+m+16),x=4-sqrt(f+m+16)