What is the answer to sqrt(4-x)-sqrt(-2x+7)=-2 ?

The answer to sqrt(4-x)-sqrt(-2x+7)=-2 is x=-21

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sqrt(4-x)-sqrt(-2x+7)=-2

4 - x - - 2 x + 7 = - 2

x = - 21

Solution steps

4 - x - - 2 x + 7 = - 2

Remove square roots

x^{2} - 14 x + 49 = - 32 x + 112

Solve

x^{2} - 14 x + 49 = - 32 x + 112 : x = 3, x = - 21

x = 3, x = - 21

Verify Solutions:

x = 3

False

, x = - 21

True

The solution is

x = - 21

(x^{2} - 13)^{\frac{1}{2}} = 6

x + 2 = 2

36 + x - x = 2

k + 2 - k - 3 = 1

2 x 100 - x^{2} = x

What is the answer to sqrt(4-x)-sqrt(-2x+7)=-2 ?
The answer to sqrt(4-x)-sqrt(-2x+7)=-2 is x=-21
Solve for x: sqrt(4-x)-sqrt(-2x+7)=-2
The solution is x=-21