What is the answer to 3x-sqrt(x)=sqrt(6-2x) ?

The answer to 3x-sqrt(x)=sqrt(6-2x) is x=1

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3x-sqrt(x)=sqrt(6-2x)

3 x - x = 6 - 2 x

x = 1

Solution steps

3 x - x = 6 - 2 x

Remove square roots

36 x^{3} = 81 x^{4} + 54 x^{3} - 99 x^{2} - 36 x + 36

Solve

36 x^{3} = 81 x^{4} + 54 x^{3} - 99 x^{2} - 36 x + 36 : x = 1, x \approx 0.50697 \dots

x = 1, x \approx 0.50697 \dots

Verify Solutions:

x = 1

True

, x \approx 0.50697 \dots

False

The solution is

x = 1

- 14 + 6 3 x + 7 = - 2

x + 7 + x - 2 = 9

x - 7 x - 6 = 2

x, y - x - 1 = 2

What is the answer to 3x-sqrt(x)=sqrt(6-2x) ?
The answer to 3x-sqrt(x)=sqrt(6-2x) is x=1
Solve for x: 3x-sqrt(x)=sqrt(6-2x)
The solution is x=1