What is the answer to 2x-3=-2sqrt(4x-1) ?

The answer to 2x-3=-2sqrt(4x-1) is x= 1/2

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2x-3=-2sqrt(4x-1)

2 x - 3 = - 2 4 x - 1

x = \frac{1}{2}

Solution steps

2 x - 3 = - 2 4 x - 1

Square both sides:

4 x^{2} - 12 x + 9 = 16 x - 4

4 x^{2} - 12 x + 9 = 16 x - 4

Solve

4 x^{2} - 12 x + 9 = 16 x - 4 : x = \frac{13}{2}, x = \frac{1}{2}

x = \frac{13}{2}, x = \frac{1}{2}

Verify Solutions:

x = \frac{13}{2}

False

, x = \frac{1}{2}

True

The solution is

x = \frac{1}{2}

5.5 x + 10000 = 3.29 x

50 = 53 Q^{0.18}

x + 12 + x = 6

1 - x + 3 = 0

(x + 4)^{\frac{5}{3}} = 32

What is the answer to 2x-3=-2sqrt(4x-1) ?
The answer to 2x-3=-2sqrt(4x-1) is x= 1/2
Solve for x: 2x-3=-2sqrt(4x-1)
The solution is x= 1/2