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

The answer to (a+4)/a =(4a)/(a^2+a-2) is a\approx 1.44542…

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

The solution is a\approx 1.44542…

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\frac{a + 4}{a} = \frac{4 a}{a ^{2} + a - 2}

a \approx 1.44542 \dots

Solution steps

\frac{a + 4}{a} = \frac{4 a}{a ^{2} + a - 2}

Cross multiply

(a + 4) (a^{2} + a - 2) = 4 a^{2}

Solve

(a + 4) (a^{2} + a - 2) = 4 a^{2} : a \approx 1.44542 \dots

a \approx 1.44542 \dots

Verify Solutions

Find undefined (singularity) points:

a = 0, a = - 2, a = 1

Combine undefined points with solutions:

a \approx 1.44542 \dots

(q) = \frac{5 q ^{2}}{q + 3 + 500}

\frac{3}{4 - x - \frac{3}{2}} = \frac{1}{6}

\frac{1}{100} = (\frac{x}{( 1 - x )})^{2}

\frac{31}{2 - 4 ( 2 x - 3 )} = \frac{1}{3 \cdot ( \frac{3}{4} - 6 x )}

\frac{( 2 x - 3 )}{3} = \frac{1 - 2}{3 x}

What is the answer to (a+4)/a =(4a)/(a^2+a-2) ?
The answer to (a+4)/a =(4a)/(a^2+a-2) is a\approx 1.44542…
Solve for a: (a+4)/a =(4a)/(a^2+a-2)
The solution is a\approx 1.44542…