7242=30.5x^2+4192

Solution for 7242=30.5x^2+4192 equation:

7242=30.5x^2+4192

We move all terms to the left:

7242-(30.5x^2+4192)=0

We get rid of parentheses

-30.5x^2-4192+7242=0

We add all the numbers together, and all the variables

-30.5x^2+3050=0

a = -30.5; b = 0; c = +3050;
Δ = b2-4ac
Δ = 02-4·(-30.5)·3050
Δ = 372100
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{372100}=610$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-610}{2*-30.5}=\frac{-610}{-61}
=+10
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+610}{2*-30.5}=\frac{610}{-61}
=-10
$