-15x^2-x+62=0

Solution for -15x^2-x+62=0 equation:

-15x^2-x+62=0

We add all the numbers together, and all the variables

-15x^2-1x+62=0

a = -15; b = -1; c = +62;
Δ = b2-4ac
Δ = -12-4·(-15)·62
Δ = 3721
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{3721}=61$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-1)-61}{2*-15}=\frac{-60}{-30}
=+2
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-1)+61}{2*-15}=\frac{62}{-30}
=-2+1/15
$