35(x*x)-18x-8=0

Solution for 35(x*x)-18x-8=0 equation:

35(x*x)-18x-8=0

We add all the numbers together, and all the variables

35(+x*x)-18x-8=0

We add all the numbers together, and all the variables

-18x+35(+x*x)-8=0

We multiply parentheses

35x^2-18x-8=0

a = 35; b = -18; c = -8;
Δ = b2-4ac
Δ = -182-4·35·(-8)
Δ = 1444
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1444}=38$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-18)-38}{2*35}=\frac{-20}{70}
=-2/7
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-18)+38}{2*35}=\frac{56}{70}
=4/5
$