x2/35=-17x+93

Solution for x2/35=-17x+93 equation:

x2/35=-17x+93

We move all terms to the left:

x2/35-(-17x+93)=0

We get rid of parentheses

x2/35+17x-93=0

We multiply all the terms by the denominator


x2+17x*35-93*35=0

We add all the numbers together, and all the variables

x^2+17x*35-3255=0

Wy multiply elements

x^2+595x-3255=0

a = 1; b = 595; c = -3255;
Δ = b2-4ac
Δ = 5952-4·1·(-3255)
Δ = 367045
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(595)-\sqrt{367045}}{2*1}=\frac{-595-\sqrt{367045}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(595)+\sqrt{367045}}{2*1}=\frac{-595+\sqrt{367045}}{2}
$