What is the answer to sqrt(19-10x)-sqrt(x+7)=5 ?

The answer to sqrt(19-10x)-sqrt(x+7)=5 is x=-3

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sqrt(19-10x)-sqrt(x+7)=5

19 - 10 x - x + 7 = 5

x = - 3

Solution steps

19 - 10 x - x + 7 = 5

Remove square roots

121 x^{2} + 286 x + 169 = 100 x + 700

Solve

121 x^{2} + 286 x + 169 = 100 x + 700 : x = \frac{177}{121}, x = - 3

x = \frac{177}{121}, x = - 3

Verify Solutions:

x = \frac{177}{121}

False

, x = - 3

True

The solution is

x = - 3

x^{\frac{5}{3}} = 243

x^{2} + 4 = 3 x^{3} - 4 x

(x - 4)^{\frac{2}{3}} = 4

x + 5 - x = 1

x^{2} + 25 = x + 5

What is the answer to sqrt(19-10x)-sqrt(x+7)=5 ?
The answer to sqrt(19-10x)-sqrt(x+7)=5 is x=-3
Solve for x: sqrt(19-10x)-sqrt(x+7)=5
The solution is x=-3