What is the answer to sqrt(x^2+2x-25)=sqrt(x+5) ?

The answer to sqrt(x^2+2x-25)=sqrt(x+5) is x=5,x=-6

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sqrt(x^2+2x-25)=sqrt(x+5)

x^{2} + 2 x - 25 = x + 5

x = 5, x = - 6

Solution steps

x^{2} + 2 x - 25 = x + 5

Square both sides:

x^{2} + 2 x - 25 = x + 5

x^{2} + 2 x - 25 = x + 5

Solve

x^{2} + 2 x - 25 = x + 5 : x = 5, x = - 6

x = 5, x = - 6

Verify Solutions:

x = 5

True

, x = - 6

True

The solutions are

x = 5, x = - 6

2 x - 1 - 5 = 0

64 = \frac{x ^{2}}{x}

(x - 1)^{\frac{3}{2}} = 64

6 + 2 + x = 3

x - 3 x + 18 = 0

What is the answer to sqrt(x^2+2x-25)=sqrt(x+5) ?
The answer to sqrt(x^2+2x-25)=sqrt(x+5) is x=5,x=-6
Solve for x: sqrt(x^2+2x-25)=sqrt(x+5)
The solution is x=5,x=-6