What is the answer to sqrt(x^2+7)-2x=10 ?

The answer to sqrt(x^2+7)-2x=10 is x=-3

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sqrt(x^2+7)-2x=10

x^{2} + 7 - 2 x = 10

x = - 3

Solution steps

x^{2} + 7 - 2 x = 10

Remove square roots

x^{2} + 7 = 100 + 40 x + 4 x^{2}

Solve

x^{2} + 7 = 100 + 40 x + 4 x^{2} : x = - 3, x = - \frac{31}{3}

x = - 3, x = - \frac{31}{3}

Verify Solutions:

x = - 3

True

, x = - \frac{31}{3}

False

The solution is

x = - 3

2 x + 6 - 3 = x

w^{\frac{1}{4}} = 3

25 + 3 x = d + 2 x

x^{\frac{3}{2}} = 216

9 - x + 1 = x - 6

What is the answer to sqrt(x^2+7)-2x=10 ?
The answer to sqrt(x^2+7)-2x=10 is x=-3
Solve for x: sqrt(x^2+7)-2x=10
The solution is x=-3