What is the answer to solvefor y,x=5-sqrt(9-y) ?

The answer to solvefor y,x=5-sqrt(9-y) is y=-x^2+10x-16 {x<= 5}

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solvefor y,x=5-sqrt(9-y)

solve for

y, x = 5 - 9 - y

y = - x^{2} + 10 x - 16 {x \leq 5}

Solution steps

x = 5 - 9 - y

Move

9 - y

to the left side

x + 9 - y = 5

Move

x

to the right side

9 - y = 5 - x

Square both sides:

9 - y = 25 - 10 x + x^{2}

9 - y = 25 - 10 x + x^{2}

Solve

9 - y = 25 - 10 x + x^{2} : y = - x^{2} + 10 x - 16

y = - x^{2} + 10 x - 16

Verify Solutions:

y = - x^{2} + 10 x - 16 {x \leq 5}

The solution is

y = - x^{2} + 10 x - 16 {x \leq 5}

2 x = 1

2 x = 4

7 x + 43 = x + 5

G (x) = 3 x + 8

What is the answer to solvefor y,x=5-sqrt(9-y) ?
The answer to solvefor y,x=5-sqrt(9-y) is y=-x^2+10x-16 {x<= 5}