2023=5(x*x)

Solution for 2023=5(x*x) equation:

2023=5(x*x)

We move all terms to the left:

2023-(5(x*x))=0

We add all the numbers together, and all the variables

-(5(+x*x))+2023=0


We calculate terms in parentheses: -(5(+x*x)), so:

5(+x*x)

We multiply parentheses

5x^2

Back to the equation:

-(5x^2)


a = -5; b = 0; c = +2023;
Δ = b2-4ac
Δ = 02-4·(-5)·2023
Δ = 40460
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:

$\sqrt{\Delta}=\sqrt{40460}=\sqrt{1156*35}=\sqrt{1156}*\sqrt{35}=34\sqrt{35}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-34\sqrt{35}}{2*-5}=\frac{0-34\sqrt{35}}{-10}
=-\frac{34\sqrt{35}}{-10}
=-\frac{17\sqrt{35}}{-5}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+34\sqrt{35}}{2*-5}=\frac{0+34\sqrt{35}}{-10}
=\frac{34\sqrt{35}}{-10}
=\frac{17\sqrt{35}}{-5}
$