What is the answer to sqrt(5x+24)=3x-16 ?

The answer to sqrt(5x+24)=3x-16 is x=8

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sqrt(5x+24)=3x-16

5 x + 24 = 3 x - 16

x = 8

Solution steps

5 x + 24 = 3 x - 16

Square both sides:

5 x + 24 = 9 x^{2} - 96 x + 256

5 x + 24 = 9 x^{2} - 96 x + 256

Solve

5 x + 24 = 9 x^{2} - 96 x + 256 : x = 8, x = \frac{29}{9}

x = 8, x = \frac{29}{9}

Verify Solutions:

x = 8

True

, x = \frac{29}{9}

False

The solution is

x = 8

z = - 1

5 + 4 x - 2 = 17

What is the answer to sqrt(5x+24)=3x-16 ?
The answer to sqrt(5x+24)=3x-16 is x=8
Solve for x: sqrt(5x+24)=3x-16
The solution is x=8