0=x^2-21x+62

Solution for 0=x^2-21x+62 equation:

0=x^2-21x+62

We move all terms to the left:

0-(x^2-21x+62)=0

We add all the numbers together, and all the variables

-(x^2-21x+62)=0

We get rid of parentheses

-x^2+21x-62=0

We add all the numbers together, and all the variables

-1x^2+21x-62=0

a = -1; b = 21; c = -62;
Δ = b2-4ac
Δ = 212-4·(-1)·(-62)
Δ = 193
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{-(21)-\sqrt{193}}{2*-1}=\frac{-21-\sqrt{193}}{-2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(21)+\sqrt{193}}{2*-1}=\frac{-21+\sqrt{193}}{-2}
$