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2/3.14=x*x
We move all terms to the left:
2/3.14-(x*x)=0
We add all the numbers together, and all the variables
-(+x*x)+2/3.14=0
We get rid of parentheses
-x*x+2/3.14=0
We multiply all the terms by the denominator
-(x*x)*3.14+2=0
We add all the numbers together, and all the variables
-(+x*x)*3.14+2=0
We multiply parentheses
-3.14x^2+2=0
a = -3.14; b = 0; c = +2;
Δ = b2-4ac
Δ = 02-4·(-3.14)·2
Δ = 25.12
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}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-\sqrt{25.12}}{2*-3.14}=\frac{0-\sqrt{25.12}}{-6.28} =-\frac{\sqrt{}}{-6.28} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+\sqrt{25.12}}{2*-3.14}=\frac{0+\sqrt{25.12}}{-6.28} =\frac{\sqrt{}}{-6.28} $
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