What is the answer to 12=3m+sqrt(36m^2+9) ?

The answer to 12=3m+sqrt(36m^2+9) is m=-(4+sqrt(61))/3 ,m=(sqrt(61)-4)/3

Solve for m: 12=3m+sqrt(36m^2+9)

The solution is m=-(4+sqrt(61))/3 ,m=(sqrt(61)-4)/3

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12 = 3 m + 36 m^{2} + 9

m = - \frac{4 + 61}{3}, m = \frac{61 - 4}{3}

Decimal Notation

m = - 3.93674 \dots, m = 1.27008 \dots

Solution steps

12 = 3 m + 36 m^{2} + 9

Remove square roots

144 - 72 m + 9 m^{2} = 36 m^{2} + 9

Solve

144 - 72 m + 9 m^{2} = 36 m^{2} + 9 : m = - \frac{4 + 61}{3}, m = \frac{61 - 4}{3}

m = - \frac{4 + 61}{3}, m = \frac{61 - 4}{3}

Verify Solutions:

m = - \frac{4 + 61}{3}

True

, m = \frac{61 - 4}{3}

True

The solutions are

m = - \frac{4 + 61}{3}, m = \frac{61 - 4}{3}

5 = (100 x^{0.25}) (x + 300)^{- 0.25}

x^{- \frac{6}{8}} = 0.001

- \frac{1}{2 x} = 0

10 x + 5 = 5 x - 10

2 (x + 5)^{\frac{2}{3}} = 18

What is the answer to 12=3m+sqrt(36m^2+9) ?
The answer to 12=3m+sqrt(36m^2+9) is m=-(4+sqrt(61))/3 ,m=(sqrt(61)-4)/3
Solve for m: 12=3m+sqrt(36m^2+9)
The solution is m=-(4+sqrt(61))/3 ,m=(sqrt(61)-4)/3