What is the answer to sqrt(x+3)sqrt(7-x)=x+3 ?

The answer to sqrt(x+3)sqrt(7-x)=x+3 is x=-3,x=2

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sqrt(x+3)sqrt(7-x)=x+3

x + 3 7 - x = x + 3

x = - 3, x = 2

Solution steps

x + 3 7 - x = x + 3

Square both sides:

4 x - x^{2} + 21 = x^{2} + 6 x + 9

4 x - x^{2} + 21 = x^{2} + 6 x + 9

Solve

4 x - x^{2} + 21 = x^{2} + 6 x + 9 : x = - 3, x = 2

x = - 3, x = 2

Verify Solutions:

x = - 3

True

, x = 2

True

The solutions are

x = - 3, x = 2

x, x + y = x - y

y^{2} - 2 y + 1 - 5 = - y

2 x + 3 - 7 = 10

k - 4 k - 32 = 0

3 - 2 x + 4 = 3

What is the answer to sqrt(x+3)sqrt(7-x)=x+3 ?
The answer to sqrt(x+3)sqrt(7-x)=x+3 is x=-3,x=2
Solve for x: sqrt(x+3)sqrt(7-x)=x+3
The solution is x=-3,x=2