What is the answer to sqrt(5x+1)=x-4 ?

The answer to sqrt(5x+1)=x-4 is x=(13+sqrt(109))/2

Solve for x: sqrt(5x+1)=x-4

The solution is x=(13+sqrt(109))/2

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5 x + 1 = x - 4

x = \frac{13 + 109}{2}

Decimal Notation

x = 11.72015 \dots

Solution steps

5 x + 1 = x - 4

Square both sides:

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

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

Solve

5 x + 1 = x^{2} - 8 x + 16 : x = \frac{13 + 109}{2}, x = \frac{13 - 109}{2}

x = \frac{13 + 109}{2}, x = \frac{13 - 109}{2}

Verify Solutions:

x = \frac{13 + 109}{2}

True

, x = \frac{13 - 109}{2}

False

The solution is

x = \frac{13 + 109}{2}

7 - 2 x = x - 2

x - 3 x - 11 = 5

4 x + 17 = x - 1

\frac{1}{x} + 5 = 0

x - x - 8 = x - 5

What is the answer to sqrt(5x+1)=x-4 ?
The answer to sqrt(5x+1)=x-4 is x=(13+sqrt(109))/2
Solve for x: sqrt(5x+1)=x-4
The solution is x=(13+sqrt(109))/2