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.0025=4x^2/40
We move all terms to the left:
.0025-(4x^2/40)=0
We add all the numbers together, and all the variables
-(4x^2/40)+0.0025=0
We get rid of parentheses
-4x^2/40+0.0025=0
We multiply all the terms by the denominator
-4x^2+(0.0025)*40=0
We add all the numbers together, and all the variables
-4x^2+0.1=0
a = -4; b = 0; c = +0.1;
Δ = b2-4ac
Δ = 02-4·(-4)·0.1
Δ = 1.6
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{1.6}}{2*-4}=\frac{0-\sqrt{1.6}}{-8} =-\frac{\sqrt{}}{-8} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+\sqrt{1.6}}{2*-4}=\frac{0+\sqrt{1.6}}{-8} =\frac{\sqrt{}}{-8} $
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