What is the answer to sqrt(3p^2+6)+3=6p ?

The answer to sqrt(3p^2+6)+3=6p is p=1

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sqrt(3p^2+6)+3=6p

3 p^{2} + 6 + 3 = 6 p

p = 1

Solution steps

3 p^{2} + 6 + 3 = 6 p

Remove square roots

3 p^{2} + 6 = 36 p^{2} - 36 p + 9

Solve

3 p^{2} + 6 = 36 p^{2} - 36 p + 9 : p = 1, p = \frac{1}{11}

p = 1, p = \frac{1}{11}

Verify Solutions:

p = 1

True

, p = \frac{1}{11}

False

The solution is

p = 1

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

x^{2} + 3 x - 1 - 2 x = - 1

What is the answer to sqrt(3p^2+6)+3=6p ?
The answer to sqrt(3p^2+6)+3=6p is p=1
Solve for p: sqrt(3p^2+6)+3=6p
The solution is p=1