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

The answer to 4= x/(2sqrt(x-2)) is x=8(4+sqrt(14)),x=8(4-sqrt(14))

Solve for x: 4= x/(2sqrt(x-2))

The solution is x=8(4+sqrt(14)),x=8(4-sqrt(14))

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4 = \frac{x}{2 x - 2}

x = 8 (4 + 14), x = 8 (4 - 14)

Decimal Notation

x = 61.93325 \dots, x = 2.06674 \dots

Solution steps

4 = \frac{x}{2 x - 2}

Multiply both sides by

2 x - 2

4 \cdot 2 x - 2 = \frac{x}{2 x - 2} \cdot 2 x - 2

Simplify

8 x - 2 = x

Square both sides:

64 x - 128 = x^{2}

64 x - 128 = x^{2}

Solve

64 x - 128 = x^{2} : x = 8 (4 + 14), x = 8 (4 - 14)

x = 8 (4 + 14), x = 8 (4 - 14)

Verify Solutions:

x = 8 (4 + 14)

True

, x = 8 (4 - 14)

True

The solutions are

x = 8 (4 + 14), x = 8 (4 - 14)

1 + x - 1 = 0.05

x^{2} - x + 1 = 1

2 x + 1 + x - 1 = 4

5 = 10 (0.55)^{0.2} K^{0.4}

3 = 3 x^{3} + 2 x^{2} + 3 x + 1

What is the answer to 4= x/(2sqrt(x-2)) ?
The answer to 4= x/(2sqrt(x-2)) is x=8(4+sqrt(14)),x=8(4-sqrt(14))
Solve for x: 4= x/(2sqrt(x-2))
The solution is x=8(4+sqrt(14)),x=8(4-sqrt(14))