What is the answer to sqrt(1-x)+sqrt(12+x)-5=0 ?

The answer to sqrt(1-x)+sqrt(12+x)-5=0 is x=-3,x=-8

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sqrt(1-x)+sqrt(12+x)-5=0

1 - x + 12 + x - 5 = 0

x = - 3, x = - 8

Solution steps

1 - x + 12 + x - 5 = 0

Remove square roots

4 x^{2} + 144 x + 1296 = 1200 + 100 x

Solve

4 x^{2} + 144 x + 1296 = 1200 + 100 x : x = - 3, x = - 8

x = - 3, x = - 8

Verify Solutions:

x = - 3

True

, x = - 8

True

The solutions are

x = - 3, x = - 8

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

x^{2} - 6 x + 18 = 5

2 x + x = 8

1 + x = 2

3 = 4 x - 19

What is the answer to sqrt(1-x)+sqrt(12+x)-5=0 ?
The answer to sqrt(1-x)+sqrt(12+x)-5=0 is x=-3,x=-8
Solve for x: sqrt(1-x)+sqrt(12+x)-5=0
The solution is x=-3,x=-8