1-2x^2=0.98

Solution for 1-2x^2=0.98 equation:

1-2x^2=0.98

We move all terms to the left:

1-2x^2-(0.98)=0

We add all the numbers together, and all the variables

-2x^2+0.02=0

a = -2; b = 0; c = +0.02;
Δ = b2-4ac
Δ = 02-4·(-2)·0.02
Δ = 0.16
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{0.16}}{2*-2}=\frac{0-\sqrt{0.16}}{-4}
=-\frac{\sqrt{}}{-4}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+\sqrt{0.16}}{2*-2}=\frac{0+\sqrt{0.16}}{-4}
=\frac{\sqrt{}}{-4}
$