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(-x+3.5)(-x+2.5)=0
We add all the numbers together, and all the variables
(-1x+3.5)(-1x+2.5)=0
We multiply parentheses ..
(+x^2-2.5x-3.5x+8.75)=0
We get rid of parentheses
x^2-2.5x-3.5x+8.75=0
We add all the numbers together, and all the variables
x^2-6x+8.75=0
a = 1; b = -6; c = +8.75;
Δ = b2-4ac
Δ = -62-4·1·8.75
Δ = 1
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{1}=1$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-6)-1}{2*1}=\frac{5}{2} =2+1/2 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-6)+1}{2*1}=\frac{7}{2} =3+1/2 $
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