What is the answer to (3+sqrt(9+20a))/(2a)=1 ?

The answer to (3+sqrt(9+20a))/(2a)=1 is a=8

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(3+sqrt(9+20a))/(2a)=1

\frac{3 + 9 + 20 a}{2 a} = 1

a = 8

Solution steps

\frac{3 + 9 + 20 a}{2 a} = 1

Multiply both sides by

2 a

\frac{3 + 9 + 20 a}{2 a} \cdot 2 a = 1 \cdot 2 a

Simplify

3 + 9 + 20 a = 2 a

Remove square roots

9 + 20 a = 4 a^{2} - 12 a + 9

Solve

9 + 20 a = 4 a^{2} - 12 a + 9 : a = 8, a = 0

a = 8, a = 0

Verify Solutions:

a = 8

True

, a = 0

False

The solution is

a = 8

x - 1 = x + 1

x = x + 15 - 1

x + 5 = 11 x + 37

(x + 3)^{2} = 7

What is the answer to (3+sqrt(9+20a))/(2a)=1 ?
The answer to (3+sqrt(9+20a))/(2a)=1 is a=8
Solve for a: (3+sqrt(9+20a))/(2a)=1
The solution is a=8