a=2(35)/8.75^2

Solution for a=2(35)/8.75^2 equation:

a=2(35)/8.75^2

We move all terms to the left:

a-(2(35)/8.75^2)=0

We get rid of parentheses

a-235/8.75^2=0

We multiply all the terms by the denominator


a*8.75^2-235=0

Wy multiply elements

8a^2-235=0

a = 8; b = 0; c = -235;
Δ = b2-4ac
Δ = 02-4·8·(-235)
Δ = 7520
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:

$\sqrt{\Delta}=\sqrt{7520}=\sqrt{16*470}=\sqrt{16}*\sqrt{470}=4\sqrt{470}$
$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-4\sqrt{470}}{2*8}=\frac{0-4\sqrt{470}}{16}
=-\frac{4\sqrt{470}}{16}
=-\frac{\sqrt{470}}{4}
$
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+4\sqrt{470}}{2*8}=\frac{0+4\sqrt{470}}{16}
=\frac{4\sqrt{470}}{16}
=\frac{\sqrt{470}}{4}
$