What is the answer to 24=2(sqrt(2x+8))(sqrt(3x-3)) ?

The answer to 24=2(sqrt(2x+8))(sqrt(3x-3)) is x=4

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24=2(sqrt(2x+8))(sqrt(3x-3))

24 = 2 (2 x + 8) (3 x - 3)

x = 4

Solution steps

24 = 2 (2 x + 8) (3 x - 3)

Square both sides:

576 = 24 x^{2} + 72 x - 96

576 = 24 x^{2} + 72 x - 96

Solve

576 = 24 x^{2} + 72 x - 96 : x = 4, x = - 7

x = 4, x = - 7

Verify Solutions:

x = 4

True

, x = - 7

False

The solution is

x = 4

a - 1 = 3 - a

5 x - 1 = x + 1

\frac{3}{2 \cdot x} = 0.6

3 x + 1 - 17 - x = 2

(3 x + 1)^{\frac{3}{2}} + 2 = 66

What is the answer to 24=2(sqrt(2x+8))(sqrt(3x-3)) ?
The answer to 24=2(sqrt(2x+8))(sqrt(3x-3)) is x=4
Solve for x: 24=2(sqrt(2x+8))(sqrt(3x-3))
The solution is x=4