45/80=a2

Solution for 45/80=a2 equation:

45/80=a2

We move all terms to the left:

45/80-(a2)=0

We add all the numbers together, and all the variables

-1a^2+45/80=0

We multiply all the terms by the denominator


-1a^2*80+45=0

Wy multiply elements

-80a^2+45=0

a = -80; b = 0; c = +45;
Δ = b2-4ac
Δ = 02-4·(-80)·45
Δ = 14400
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{14400}=120$
$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-120}{2*-80}=\frac{-120}{-160}
=3/4
$
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+120}{2*-80}=\frac{120}{-160}
=-3/4
$