0.759x^2=100

Solution for 0.759x^2=100 equation:

0.759x^2=100

We move all terms to the left:

0.759x^2-(100)=0

a = 0.759; b = 0; c = -100;
Δ = b2-4ac
Δ = 02-4·0.759·(-100)
Δ = 303.6
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{303.6}}{2*0.759}=\frac{0-\sqrt{303.6}}{1.518}
=-\frac{\sqrt{}}{1.518}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+\sqrt{303.6}}{2*0.759}=\frac{0+\sqrt{303.6}}{1.518}
=\frac{\sqrt{}}{1.518}
$