What is the answer to sqrt(7x+57)=3x+15 ?

The answer to sqrt(7x+57)=3x+15 is x=-3

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sqrt(7x+57)=3x+15

7 x + 57 = 3 x + 15

x = - 3

Solution steps

7 x + 57 = 3 x + 15

Square both sides:

7 x + 57 = 9 x^{2} + 90 x + 225

7 x + 57 = 9 x^{2} + 90 x + 225

Solve

7 x + 57 = 9 x^{2} + 90 x + 225 : x = - 3, x = - \frac{56}{9}

x = - 3, x = - \frac{56}{9}

Verify Solutions:

x = - 3

True

, x = - \frac{56}{9}

False

The solution is

x = - 3

4 + 2 x = 12 + 1 + x^{2}

2 x^{\frac{5}{3}} - 6 = 0

x - 2 x + 1 = 2

x + 4 - x - 2 = 2

2 x - 7 x^{\frac{1}{2}} - 30 = 0

What is the answer to sqrt(7x+57)=3x+15 ?
The answer to sqrt(7x+57)=3x+15 is x=-3
Solve for x: sqrt(7x+57)=3x+15
The solution is x=-3