X^2+y/1.2=11.2

Solution for X^2+y/1.2=11.2 equation:

X^2+X/1.2=11.2

We move all terms to the left:

X^2+X/1.2-(11.2)=0

We add all the numbers together, and all the variables

X^2+X/1.2-11.2=0

We multiply all the terms by the denominator


X^2*1.2+X-(11.2)*1.2=0

We add all the numbers together, and all the variables

X^2*1.2+X-13.44=0

Wy multiply elements

1.2X^2+X-13.44=0

a = 1.2; b = 1; c = -13.44;
Δ = b2-4ac
Δ = 12-4·1.2·(-13.44)
Δ = 65.512
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{-(1)-\sqrt{65.512}}{2*1.2}=\frac{-1-\sqrt{65.512}}{2.4}
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1)+\sqrt{65.512}}{2*1.2}=\frac{-1+\sqrt{65.512}}{2.4}
$