What is the answer to 1/(x+3)= x/(x+2) ?

The answer to 1/(x+3)= x/(x+2) is x=-1+sqrt(3),x=-1-sqrt(3)

Solve for x: 1/(x+3)= x/(x+2)

The solution is x=-1+sqrt(3),x=-1-sqrt(3)

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\frac{1}{x + 3} = \frac{x}{x + 2}

x = - 1 + 3, x = - 1 - 3

Decimal Notation

x = 0.73205 \dots, x = - 2.73205 \dots

Solution steps

\frac{1}{x + 3} = \frac{x}{x + 2}

Cross multiply

x + 2 = (x + 3) x

Solve

x + 2 = (x + 3) x : x = - 1 + 3, x = - 1 - 3

x = - 1 + 3, x = - 1 - 3

Verify Solutions

Find undefined (singularity) points:

x = - 3, x = - 2

Combine undefined points with solutions:

x = - 1 + 3, x = - 1 - 3

\frac{3 - x}{4 - x} = \frac{8}{7}

x^{2} + \frac{1}{x ^{2}} = 1

b, 2 = Q + \frac{f}{b}

\frac{8}{x} - 7 = 17

\frac{x - 4}{3} = \frac{x + 4}{x + 1}

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