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(5.2-x)(.4-x)=0
We add all the numbers together, and all the variables
(-1x+5.2)(-1x+0.4)=0
We multiply parentheses ..
(+x^2-0.4x-5.2x+2.08)=0
We get rid of parentheses
x^2-0.4x-5.2x+2.08=0
We add all the numbers together, and all the variables
x^2-5.6x+2.08=0
a = 1; b = -5.6; c = +2.08;
Δ = b2-4ac
Δ = -5.62-4·1·2.08
Δ = 23.04
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{-(-5.6)-\sqrt{23.04}}{2*1}=\frac{5.6-\sqrt{23.04}}{2} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-5.6)+\sqrt{23.04}}{2*1}=\frac{5.6+\sqrt{23.04}}{2} $
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