a2=225/64

Solution for a2=225/64 equation:

a2=225/64

We move all terms to the left:

a2-(225/64)=0

We add all the numbers together, and all the variables

a2-(+225/64)=0

We add all the numbers together, and all the variables

a^2-(+225/64)=0

We get rid of parentheses

a^2-225/64=0

We multiply all the terms by the denominator


a^2*64-225=0

Wy multiply elements

64a^2-225=0

a = 64; b = 0; c = -225;
Δ = b2-4ac
Δ = 02-4·64·(-225)
Δ = 57600
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{57600}=240$
$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-240}{2*64}=\frac{-240}{128}
=-1+7/8
$
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+240}{2*64}=\frac{240}{128}
=1+7/8
$