49.5=3.7x^2

Solution for 49.5=3.7x^2 equation:

49.5=3.7x^2

We move all terms to the left:

49.5-(3.7x^2)=0

We get rid of parentheses

-3.7x^2+49.5=0

a = -3.7; b = 0; c = +49.5;
Δ = b2-4ac
Δ = 02-4·(-3.7)·49.5
Δ = 732.6
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{-(0)-\sqrt{732.6}}{2*-3.7}=\frac{0-\sqrt{732.6}}{-7.4}
=-\frac{\sqrt{}}{-7.4}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+\sqrt{732.6}}{2*-3.7}=\frac{0+\sqrt{732.6}}{-7.4}
=\frac{\sqrt{}}{-7.4}
$