(x*x)-34x+240=0

Solution for (x*x)-34x+240=0 equation:

(x*x)-34x+240=0

We add all the numbers together, and all the variables

(+x*x)-34x+240=0

We add all the numbers together, and all the variables

-34x+(+x*x)+240=0

We get rid of parentheses

-34x+x*x+240=0

Wy multiply elements

x^2-34x+240=0

a = 1; b = -34; c = +240;
Δ = b2-4ac
Δ = -342-4·1·240
Δ = 196
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{196}=14$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-34)-14}{2*1}=\frac{20}{2}
=10
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-34)+14}{2*1}=\frac{48}{2}
=24
$