What is the answer to 4/(5a-8)=a+2 ?

The answer to 4/(5a-8)=a+2 is a=(-1+sqrt(101))/5 ,a=-(1+sqrt(101))/5

Solve for a: 4/(5a-8)=a+2

The solution is a=(-1+sqrt(101))/5 ,a=-(1+sqrt(101))/5

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\frac{4}{5 a - 8} = a + 2

a = \frac{- 1 + 101}{5}, a = - \frac{1 + 101}{5}

Decimal Notation

a = 1.80997 \dots, a = - 2.20997 \dots

Solution steps

\frac{4}{5 a - 8} = a + 2

Multiply both sides by

5 a - 8

4 = a (5 a - 8) + 2 (5 a - 8)

Solve

4 = a (5 a - 8) + 2 (5 a - 8) : a = \frac{- 1 + 101}{5}, a = - \frac{1 + 101}{5}

a = \frac{- 1 + 101}{5}, a = - \frac{1 + 101}{5}

Verify Solutions

Find undefined (singularity) points:

a = \frac{8}{5}

Combine undefined points with solutions:

a = \frac{- 1 + 101}{5}, a = - \frac{1 + 101}{5}

\frac{11}{x} - 2 = \frac{3}{x}

- 5 = \frac{5 - 2 x}{x ^{2} - 1}

\frac{1}{2} = \frac{4}{x}

- \frac{4 x}{( x ^{2} - 1 ) ^{2}} = 0

\frac{12}{15} = \frac{26}{x}

What is the answer to 4/(5a-8)=a+2 ?
The answer to 4/(5a-8)=a+2 is a=(-1+sqrt(101))/5 ,a=-(1+sqrt(101))/5
Solve for a: 4/(5a-8)=a+2
The solution is a=(-1+sqrt(101))/5 ,a=-(1+sqrt(101))/5