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+16-m),x=4-sqrt(f+16-m)

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+16-m),x=4-sqrt(f+16-m)

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solve for

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

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

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 + 16 - m

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

The solutions to the quadratic equation are:

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

5 x^{2} - 8 x - 1 = 0

x^{2} - 160 x + 3200 = 0

12 x^{2} = 6 x

x^{2} - 4 x + 9 = 14

6 1^{2} = 6 0^{2} + x^{2}

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+16-m),x=4-sqrt(f+16-m)
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+16-m),x=4-sqrt(f+16-m)