X^2+1.78x^2=150

Solution for X^2+1.78x^2=150 equation:

X^2+1.78X^2=150

We move all terms to the left:

X^2+1.78X^2-(150)=0

We add all the numbers together, and all the variables

2.78X^2-150=0

a = 2.78; b = 0; c = -150;
Δ = b2-4ac
Δ = 02-4·2.78·(-150)
Δ = 1668
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{1668}}{2*2.78}=\frac{0-\sqrt{1668}}{5.56}
=-\frac{\sqrt{}}{5.56}
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+\sqrt{1668}}{2*2.78}=\frac{0+\sqrt{1668}}{5.56}
=\frac{\sqrt{}}{5.56}
$