What is the answer to sqrt(-x^2-2x+3)=x+3 ?

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

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sqrt(-x^2-2x+3)=x+3

- x^{2} - 2 x + 3 = x + 3

x = - 3, x = - 1

Solution steps

- x^{2} - 2 x + 3 = x + 3

Square both sides:

- x^{2} - 2 x + 3 = x^{2} + 6 x + 9

- x^{2} - 2 x + 3 = x^{2} + 6 x + 9

Solve

- x^{2} - 2 x + 3 = x^{2} + 6 x + 9 : x = - 3, x = - 1

x = - 3, x = - 1

Verify Solutions:

x = - 3

True

, x = - 1

True

The solutions are

x = - 3, x = - 1

a^{2} + 4 = a + 2

28 + 3 x = x

7 + 4 x + 8 = 9

x, x y + 3 y = 10 x

x + 12 = 8

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