0.975=1.19-1.87x^2

Solution for 0.975=1.19-1.87x^2 equation:

0.975=1.19-1.87x^2

We move all terms to the left:

0.975-(1.19-1.87x^2)=0

We get rid of parentheses

1.87x^2-1.19+0.975=0

We add all the numbers together, and all the variables

1.87x^2-0.215=0

a = 1.87; b = 0; c = -0.215;
Δ = b2-4ac
Δ = 02-4·1.87·(-0.215)
Δ = 1.6082
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{1.6082}}{2*1.87}=\frac{0-\sqrt{1.6082}}{3.74}
=-\frac{\sqrt{}}{3.74}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+\sqrt{1.6082}}{2*1.87}=\frac{0+\sqrt{1.6082}}{3.74}
=\frac{\sqrt{}}{3.74}
$