10x^2-1=159

Solution for 10x^2-1=159 equation:

10x^2-1=159

We move all terms to the left:

10x^2-1-(159)=0

We add all the numbers together, and all the variables

10x^2-160=0

a = 10; b = 0; c = -160;
Δ = b2-4ac
Δ = 02-4·10·(-160)
Δ = 6400
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{6400}=80$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-80}{2*10}=\frac{-80}{20}
=-4
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+80}{2*10}=\frac{80}{20}
=4
$