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

The answer to sqrt(3x-1)=x-4 is x=(11+sqrt(53))/2

Solve for x: sqrt(3x-1)=x-4

The solution is x=(11+sqrt(53))/2

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3 x - 1 = x - 4

x = \frac{11 + 53}{2}

Decimal Notation

x = 9.14005 \dots

Solution steps

3 x - 1 = x - 4

Square both sides:

3 x - 1 = x^{2} - 8 x + 16

3 x - 1 = x^{2} - 8 x + 16

Solve

3 x - 1 = x^{2} - 8 x + 16 : x = \frac{11 + 53}{2}, x = \frac{11 - 53}{2}

x = \frac{11 + 53}{2}, x = \frac{11 - 53}{2}

Verify Solutions:

x = \frac{11 + 53}{2}

True

, x = \frac{11 - 53}{2}

False

The solution is

x = \frac{11 + 53}{2}

a, 2 a + 6 b = 25

(x - 3)^{\frac{2}{3}} = 100

81 x^{2} + 2 x - 10 = 9 x

20 = 120 - 4 q

x^{- \frac{3}{4}} = \frac{1}{8}

What is the answer to sqrt(3x-1)=x-4 ?
The answer to sqrt(3x-1)=x-4 is x=(11+sqrt(53))/2
Solve for x: sqrt(3x-1)=x-4
The solution is x=(11+sqrt(53))/2