What is the answer to sqrt(5x+6)+3=sqrt(3x+3)+4 ?

The answer to sqrt(5x+6)+3=sqrt(3x+3)+4 is x=2,x=-1

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sqrt(5x+6)+3=sqrt(3x+3)+4

5 x + 6 + 3 = 3 x + 3 + 4

x = 2, x = - 1

Solution steps

5 x + 6 + 3 = 3 x + 3 + 4

Remove square roots

4 x^{2} + 8 x + 4 = 12 x + 12

Solve

4 x^{2} + 8 x + 4 = 12 x + 12 : x = 2, x = - 1

x = 2, x = - 1

Verify Solutions:

x = 2

True

, x = - 1

True

The solutions are

x = 2, x = - 1

(4 x - 16)^{\frac{1}{2}} = 36

9 - x + 2 = x - 5

5 x - 26 + 4 = x

5 x + 19 - 5 x = - 1

8 - 7 x - x = 0

What is the answer to sqrt(5x+6)+3=sqrt(3x+3)+4 ?
The answer to sqrt(5x+6)+3=sqrt(3x+3)+4 is x=2,x=-1
Solve for x: sqrt(5x+6)+3=sqrt(3x+3)+4
The solution is x=2,x=-1