37x-x2=336

Solution for 37x-x2=336 equation:

37x-x2=336

We move all terms to the left:

37x-x2-(336)=0

We add all the numbers together, and all the variables

-1x^2+37x-336=0

a = -1; b = 37; c = -336;
Δ = b2-4ac
Δ = 372-4·(-1)·(-336)
Δ = 25
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{25}=5$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(37)-5}{2*-1}=\frac{-42}{-2}
=+21
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(37)+5}{2*-1}=\frac{-32}{-2}
=+16
$