x^2=882/10

Solution for x^2=882/10 equation:

x^2=882/10

We move all terms to the left:

x^2-(882/10)=0

We add all the numbers together, and all the variables

x^2-(+882/10)=0

We get rid of parentheses

x^2-882/10=0

We multiply all the terms by the denominator


x^2*10-882=0

Wy multiply elements

10x^2-882=0

a = 10; b = 0; c = -882;
Δ = b2-4ac
Δ = 02-4·10·(-882)
Δ = 35280
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{35280}=\sqrt{7056*5}=\sqrt{7056}*\sqrt{5}=84\sqrt{5}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-84\sqrt{5}}{2*10}=\frac{0-84\sqrt{5}}{20}
=-\frac{84\sqrt{5}}{20}
=-\frac{21\sqrt{5}}{5}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+84\sqrt{5}}{2*10}=\frac{0+84\sqrt{5}}{20}
=\frac{84\sqrt{5}}{20}
=\frac{21\sqrt{5}}{5}
$