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(10^2)/5=5x^2
We move all terms to the left:
(10^2)/5-(5x^2)=0
We multiply all the terms by the denominator
-5x^2*5+10^2=0
We add all the numbers together, and all the variables
-5x^2*5+100=0
Wy multiply elements
-25x^2+100=0
a = -25; b = 0; c = +100;
Δ = b2-4ac
Δ = 02-4·(-25)·100
Δ = 10000
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{10000}=100$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-100}{2*-25}=\frac{-100}{-50} =+2 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+100}{2*-25}=\frac{100}{-50} =-2 $
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