What is the answer to 7=sqrt(3x-2)3x-2 ?

The answer to 7=sqrt(3x-2)3x-2 is x\approx 1.70213…

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7=sqrt(3x-2)3x-2

7 = 3 x - 2 3 x - 2

x \approx 1.70213 \dots

Solution steps

7 = 3 x - 2 \cdot 3 x - 2

Remove square roots

81 = 27 x^{3} - 18 x^{2}

Solve

81 = 27 x^{3} - 18 x^{2} : x \approx 1.70213 \dots

x \approx 1.70213 \dots

Verify Solutions:

x \approx 1.70213 \dots

True

The solution is

x \approx 1.70213 \dots

(x - 2) \cdot x^{2} + 1 = 0

6 x - 19 x^{\frac{1}{2}} + 3 = 0

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

x^{2} - x - 2 = x + 6

(3 x - 1)^{\frac{3}{2}} = 8

What is the answer to 7=sqrt(3x-2)3x-2 ?
The answer to 7=sqrt(3x-2)3x-2 is x\approx 1.70213…
Solve for x: 7=sqrt(3x-2)3x-2
The solution is x\approx 1.70213…