x+10=144x^2=144

Solution for x+10=144x^2=144 equation:

x+10=144x^2=144

We move all terms to the left:

x+10-(144x^2)=0

determiningTheFunctionDomain
-144x^2+x+10=0

a = -144; b = 1; c = +10;
Δ = b2-4ac
Δ = 12-4·(-144)·10
Δ = 5761
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{5761}}{2*-144}=\frac{-1-\sqrt{5761}}{-288}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1)+\sqrt{5761}}{2*-144}=\frac{-1+\sqrt{5761}}{-288}
$