X+x=11;x*x=30

Solution for X+x=11;x*x=30 equation:

X+X=11X*X=30

We move all terms to the left:

X+X-(11X*X)=0

We add all the numbers together, and all the variables

X+X-(+11X*X)=0

We add all the numbers together, and all the variables

2X-(+11X*X)=0

We get rid of parentheses

2X-11X*X=0

Wy multiply elements

-11X^2+2X=0

a = -11; b = 2; c = 0;
Δ = b2-4ac
Δ = 22-4·(-11)·0
Δ = 4
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{4}=2$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(2)-2}{2*-11}=\frac{-4}{-22}
=2/11
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(2)+2}{2*-11}=\frac{0}{-22}
=0
$