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

The answer to x/(x+3)=sqrt(x-1) is x\approx 1.06902…

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x/(x+3)=sqrt(x-1)

\frac{x}{x + 3} = x - 1

x \approx 1.06902 \dots

Solution steps

\frac{x}{x + 3} = x - 1

Multiply both sides by

x + 3

\frac{x}{x + 3} (x + 3) = x - 1 (x + 3)

Simplify

x = x - 1 (x + 3)

Expand

x - 1 (x + 3) : x - 1 x + 3 x - 1

x = x - 1 x + 3 x - 1

Factor

x - 1 x + 3 x - 1 : (x + 3) x - 1

x = (x + 3) x - 1

Square both sides:

x^{2} = x^{3} + 5 x^{2} + 3 x - 9

x^{2} = x^{3} + 5 x^{2} + 3 x - 9

Solve

x^{2} = x^{3} + 5 x^{2} + 3 x - 9 : x \approx 1.06902 \dots

x \approx 1.06902 \dots

Verify Solutions:

x \approx 1.06902 \dots

True

The solution is

x \approx 1.06902 \dots

5 = x + 9

\frac{4 x - 3}{9} = 7

p - 2 p = 24

- x + 2 = 3

0 = \frac{1}{x - 9}

What is the answer to x/(x+3)=sqrt(x-1) ?
The answer to x/(x+3)=sqrt(x-1) is x\approx 1.06902…
Solve for x: x/(x+3)=sqrt(x-1)
The solution is x\approx 1.06902…