What is the answer to -4x+6=4sqrt(2x) ?

The answer to -4x+6=4sqrt(2x) is x= 1/2

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-4x+6=4sqrt(2x)

- 4 x + 6 = 4 2 x

x = \frac{1}{2}

Decimal Notation

x = 0.5

Solution steps

- 4 x + 6 = 4 2 x

Square both sides:

16 x^{2} - 48 x + 36 = 32 x

16 x^{2} - 48 x + 36 = 32 x

Solve

16 x^{2} - 48 x + 36 = 32 x : x = \frac{9}{2}, x = \frac{1}{2}

x = \frac{9}{2}, x = \frac{1}{2}

Verify Solutions:

x = \frac{9}{2}

False

, x = \frac{1}{2}

True

The solution is

x = \frac{1}{2}

t, w (t) = t - 9

(x + 3)^{\frac{3}{2}} = 27

x - 5 = x + 10

x = 2 x 100 - x^{2}