What is the answer to solvefor x,f(a+h)=sqrt(2-x)+5 ?

The answer to solvefor x,f(a+h)=sqrt(2-x)+5 is x=-a^2f^2-2ahf^2-h^2f^2+10af+10hf-23

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solvefor x,f(a+h)=sqrt(2-x)+5

solve for

x, f (a + h) = 2 - x + 5

x = - a^{2} f^{2} - 2 ah f^{2} - h^{2} f^{2} + 10 a f + 10 h f - 23

Solution steps

f (a + h) = 2 - x + 5

Switch sides

2 - x + 5 = f (a + h)

Move

5

to the right side

2 - x = f (a + h) - 5

Square both sides:

2 - x = a^{2} f^{2} - 10 a f + 2 ah f^{2} + h^{2} f^{2} - 10 h f + 25

2 - x = a^{2} f^{2} - 10 a f + 2 ah f^{2} + h^{2} f^{2} - 10 h f + 25

Solve

2 - x = a^{2} f^{2} - 10 a f + 2 ah f^{2} + h^{2} f^{2} - 10 h f + 25 : x = - a^{2} f^{2} - 2 ah f^{2} - h^{2} f^{2} + 10 a f + 10 h f - 23

x = - a^{2} f^{2} - 2 ah f^{2} - h^{2} f^{2} + 10 a f + 10 h f - 23

x - 4 = 15 x + 16

3 x + 1 + 3 = x

3 x - 1 = 2 x + 10

\frac{2 x}{4} + 3 = 5

13 - x = x - 1

What is the answer to solvefor x,f(a+h)=sqrt(2-x)+5 ?
The answer to solvefor x,f(a+h)=sqrt(2-x)+5 is x=-a^2f^2-2ahf^2-h^2f^2+10af+10hf-23