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

The answer to 3=12x-sqrt(36*x^2+9) is x= 2/3

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3=12x-sqrt(36*x^2+9)

3 = 12 x - 36 \cdot x^{2} + 9

x = \frac{2}{3}

Decimal Notation

x = 0.66666 \dots

Solution steps

3 = 12 x - 36 x^{2} + 9

Remove square roots

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

Solve

9 - 72 x + 144 x^{2} = 36 x^{2} + 9 : x = \frac{2}{3}, x = 0

x = \frac{2}{3}, x = 0

Verify Solutions:

x = \frac{2}{3}

True

, x = 0

False

The solution is

x = \frac{2}{3}

x - 4 x - 20 = 20

x^{3} = 80

\frac{2 x}{7} = 4

2 x + 4 = 5 x + 4

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