What is the answer to sqrt(-x^2+25)+x=1 ?

The answer to sqrt(-x^2+25)+x=1 is x=-3

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sqrt(-x^2+25)+x=1

- x^{2} + 25 + x = 1

x = - 3

Solution steps

- x^{2} + 25 + x = 1

Remove square roots

- x^{2} + 25 = 1 - 2 x + x^{2}

Solve

- x^{2} + 25 = 1 - 2 x + x^{2} : x = 4, x = - 3

x = 4, x = - 3

Verify Solutions:

x = 4

False

, x = - 3

True

The solution is

x = - 3

x = 5

2 2 x + 1 - 2 x = 1

x - 1 = 3

(x - 1)^{\frac{1}{2}} = (x - 3)

x + 1 + x - 1 = 2

What is the answer to sqrt(-x^2+25)+x=1 ?
The answer to sqrt(-x^2+25)+x=1 is x=-3
Solve for x: sqrt(-x^2+25)+x=1
The solution is x=-3