16/25=x^2

Solution for 16/25=x^2 equation:

16/25=x^2

We move all terms to the left:

16/25-(x^2)=0

We add all the numbers together, and all the variables

-1x^2+16/25=0

We multiply all the terms by the denominator


-1x^2*25+16=0

Wy multiply elements

-25x^2+16=0

a = -25; b = 0; c = +16;
Δ = b2-4ac
Δ = 02-4·(-25)·16
Δ = 1600
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1600}=40$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-40}{2*-25}=\frac{-40}{-50}
=4/5
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+40}{2*-25}=\frac{40}{-50}
=-4/5
$