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(1-x)(1.9-x)-(-0.4)(0.5)=0
We add all the numbers together, and all the variables
(-1x+1)(-1x+1.9)-(-0.4)(0.5)=0
We add all the numbers together, and all the variables
(-1x+1)(-1x+1.9)+0.2=0
We multiply parentheses ..
(+x^2-1.9x-1x+1.9)+0.2=0
We get rid of parentheses
x^2-1.9x-1x+1.9+0.2=0
We add all the numbers together, and all the variables
x^2-2.9x+2.1=0
a = 1; b = -2.9; c = +2.1;
Δ = b2-4ac
Δ = -2.92-4·1·2.1
Δ = 0.0099999999999998
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{-(-2.9)-\sqrt{0.0099999999999998}}{2*1}=\frac{2.9-\sqrt{0.0099999999999998}}{2} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-2.9)+\sqrt{0.0099999999999998}}{2*1}=\frac{2.9+\sqrt{0.0099999999999998}}{2} $
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