X*y=8/35

Solution for X*y=8/35 equation:

X*X=8/35

We move all terms to the left:

X*X-(8/35)=0

We add all the numbers together, and all the variables

X*X-(+8/35)=0

Wy multiply elements

X^2-(+8/35)=0

We get rid of parentheses

X^2-8/35=0

We multiply all the terms by the denominator


X^2*35-8=0

Wy multiply elements

35X^2-8=0

a = 35; b = 0; c = -8;
Δ = b2-4ac
Δ = 02-4·35·(-8)
Δ = 1120
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{1120}=\sqrt{16*70}=\sqrt{16}*\sqrt{70}=4\sqrt{70}$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-4\sqrt{70}}{2*35}=\frac{0-4\sqrt{70}}{70}
=-\frac{4\sqrt{70}}{70}
=-\frac{2\sqrt{70}}{35}
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+4\sqrt{70}}{2*35}=\frac{0+4\sqrt{70}}{70}
=\frac{4\sqrt{70}}{70}
=\frac{2\sqrt{70}}{35}
$