What is the answer to sqrt(3x+10)-sqrt(x+2)=2 ?

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

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sqrt(3x+10)-sqrt(x+2)=2

3 x + 10 - x + 2 = 2

x = 2, x = - 2

Solution steps

3 x + 10 - x + 2 = 2

Remove square roots

4 x^{2} + 16 x + 16 = 16 x + 32

Solve

4 x^{2} + 16 x + 16 = 16 x + 32 : x = 2, x = - 2

x = 2, x = - 2

Verify Solutions:

x = 2

True

, x = - 2

True

The solutions are

x = 2, x = - 2

x - 3 x - 5 = 3

(2 x + 1)^{(\frac{1}{3})} - 3 = - 5

- 3 = x + 2

a = 4

x - 2 x + 1 = 1

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