a=27.25/1.15^2

Solution for a=27.25/1.15^2 equation:

a=27.25/1.15^2

We move all terms to the left:

a-(27.25/1.15^2)=0

We get rid of parentheses

a-27.25/1.15^2=0

We multiply all the terms by the denominator


a*1.15^2-27.25=0

Wy multiply elements

a^2-27.25=0

a = 1; b = 0; c = -27.25;
Δ = b2-4ac
Δ = 02-4·1·(-27.25)
Δ = 109
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-\sqrt{109}}{2*1}=\frac{0-\sqrt{109}}{2}
=-\frac{\sqrt{}}{2}
$
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+\sqrt{109}}{2*1}=\frac{0+\sqrt{109}}{2}
=\frac{\sqrt{}}{2}
$