What is the answer to 3x=sqrt(10x^2-5x-24) ?

The answer to 3x=sqrt(10x^2-5x-24) is x=8

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3x=sqrt(10x^2-5x-24)

3 x = 10 x^{2} - 5 x - 24

x = 8

Solution steps

3 x = 10 x^{2} - 5 x - 24

Square both sides:

9 x^{2} = 10 x^{2} - 5 x - 24

9 x^{2} = 10 x^{2} - 5 x - 24

Solve

9 x^{2} = 10 x^{2} - 5 x - 24 : x = 8, x = - 3

x = 8, x = - 3

Verify Solutions:

x = 8

True

, x = - 3

False

The solution is

x = 8

x + 4 + x - 8 = 0

x^{2} (43) = 3 x

(x + 6)^{\frac{3}{5}} = 8

x, y = 17 x^{\frac{2}{3}}

2 3 x + 1 + 6 = 14

What is the answer to 3x=sqrt(10x^2-5x-24) ?
The answer to 3x=sqrt(10x^2-5x-24) is x=8
Solve for x: 3x=sqrt(10x^2-5x-24)
The solution is x=8