What is the answer to 2sqrt(2x)=42x-1 ?

The answer to 2sqrt(2x)=42x-1 is x=(23+2sqrt(22))/(882)

Solve for x: 2sqrt(2x)=42x-1

The solution is x=(23+2sqrt(22))/(882)

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2 2 x = 42 x - 1

x = \frac{23 + 2 22}{882}

Decimal Notation

x = 0.03671 \dots

Solution steps

2 2 x = 42 x - 1

Square both sides:

8 x = 1764 x^{2} - 84 x + 1

8 x = 1764 x^{2} - 84 x + 1

Solve

8 x = 1764 x^{2} - 84 x + 1 : x = \frac{23 + 2 22}{882}, x = \frac{23 - 2 22}{882}

x = \frac{23 + 2 22}{882}, x = \frac{23 - 2 22}{882}

Verify Solutions:

x = \frac{23 + 2 22}{882}

True

, x = \frac{23 - 2 22}{882}

False

The solution is

x = \frac{23 + 2 22}{882}

5 x - 3 + 2 x + 1 = x + 13

t, 89 f = \frac{( 1 - 2 t )}{( 1 + 2 t )}

x^{2} + 3 3 x - 30 = 0

x x + x - x = 2 x

b = - x - 4 x

What is the answer to 2sqrt(2x)=42x-1 ?
The answer to 2sqrt(2x)=42x-1 is x=(23+2sqrt(22))/(882)
Solve for x: 2sqrt(2x)=42x-1
The solution is x=(23+2sqrt(22))/(882)