What is the answer to sqrt(3x)+6=sqrt(10x+24) ?

The answer to sqrt(3x)+6=sqrt(10x+24) is x=12

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sqrt(3x)+6=sqrt(10x+24)

3 x + 6 = 10 x + 24

x = 12

Solution steps

3 x + 6 = 10 x + 24

Remove square roots

432 x = 49 x^{2} - 168 x + 144

Solve

432 x = 49 x^{2} - 168 x + 144 : x = 12, x = \frac{12}{49}

x = 12, x = \frac{12}{49}

Verify Solutions:

x = 12

True

, x = \frac{12}{49}

False

The solution is

x = 12

4 x + 1 = x - 1

x - 18 - 3 x = 0

2 = 3 - x

11 - x = x - 7

What is the answer to sqrt(3x)+6=sqrt(10x+24) ?
The answer to sqrt(3x)+6=sqrt(10x+24) is x=12
Solve for x: sqrt(3x)+6=sqrt(10x+24)
The solution is x=12