What is the answer to (4(x^2-3))/x =x+2 ?

The answer to (4(x^2-3))/x =x+2 is x=(1+sqrt(37))/3 ,x=(1-sqrt(37))/3

Solve for x: (4(x^2-3))/x =x+2

The solution is x=(1+sqrt(37))/3 ,x=(1-sqrt(37))/3

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\frac{4 ( x ^{2} - 3 )}{x} = x + 2

x = \frac{1 + 37}{3}, x = \frac{1 - 37}{3}

Decimal Notation

x = 2.36092 \dots, x = - 1.69425 \dots

Solution steps

\frac{4 ( x ^{2} - 3 )}{x} = x + 2

Multiply both sides by

x

4 (x^{2} - 3) = x^{2} + 2 x

Solve

4 (x^{2} - 3) = x^{2} + 2 x : x = \frac{1 + 37}{3}, x = \frac{1 - 37}{3}

x = \frac{1 + 37}{3}, x = \frac{1 - 37}{3}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = \frac{1 + 37}{3}, x = \frac{1 - 37}{3}

\frac{3}{x - 3} = \frac{6}{x - 2}

\frac{2 x - 1}{x - 3} - 1 = 0

\frac{3}{x + 5} = \frac{1}{x + 2}

8 x - \frac{1}{x ^{2}} = 0

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

What is the answer to (4(x^2-3))/x =x+2 ?
The answer to (4(x^2-3))/x =x+2 is x=(1+sqrt(37))/3 ,x=(1-sqrt(37))/3
Solve for x: (4(x^2-3))/x =x+2
The solution is x=(1+sqrt(37))/3 ,x=(1-sqrt(37))/3