(3/5)a=87

Solution for (3/5)a=87 equation:

(3/5)a=87

We move all terms to the left:

(3/5)a-(87)=0


Domain of the equation: 5)a!=0

a!=0/1

a!=0

a∈R


We add all the numbers together, and all the variables

(+3/5)a-87=0

We multiply parentheses

3a^2-87=0

a = 3; b = 0; c = -87;
Δ = b2-4ac
Δ = 02-4·3·(-87)
Δ = 1044
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{1044}=\sqrt{36*29}=\sqrt{36}*\sqrt{29}=6\sqrt{29}$
$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-6\sqrt{29}}{2*3}=\frac{0-6\sqrt{29}}{6}
=-\frac{6\sqrt{29}}{6}
=-\sqrt{29}
$
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+6\sqrt{29}}{2*3}=\frac{0+6\sqrt{29}}{6}
=\frac{6\sqrt{29}}{6}
=\sqrt{29}
$