What is the answer to 6x-11sqrt(3x)+12=0 ?

The answer to 6x-11sqrt(3x)+12=0 is x= 16/3 ,x= 3/4

Solve for x: 6x-11sqrt(3x)+12=0

The solution is x= 16/3 ,x= 3/4

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6 x - 11 3 x + 12 = 0

x = \frac{16}{3}, x = \frac{3}{4}

Decimal Notation

x = 5.33333 \dots, x = 0.75

Solution steps

6 x - 11 3 x + 12 = 0

Remove square roots

363 x = 36 x^{2} + 144 x + 144

Solve

363 x = 36 x^{2} + 144 x + 144 : x = \frac{16}{3}, x = \frac{3}{4}

x = \frac{16}{3}, x = \frac{3}{4}

Verify Solutions:

x = \frac{16}{3}

True

, x = \frac{3}{4}

True

The solutions are

x = \frac{16}{3}, x = \frac{3}{4}

y, x = 16 - y^{2}

(- 3 x + 4)^{\frac{1}{2}} = x

x - 25 - x^{2} = 1

4 x - 16 = x - 4

8 + 2 x - x = x + 6

What is the answer to 6x-11sqrt(3x)+12=0 ?
The answer to 6x-11sqrt(3x)+12=0 is x= 16/3 ,x= 3/4
Solve for x: 6x-11sqrt(3x)+12=0
The solution is x= 16/3 ,x= 3/4