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0.09x-0.04x(10-x)=0
We add all the numbers together, and all the variables
0.09x-0.04x(-1x+10)=0
We multiply parentheses
-0x^2+0.09x-0x=0
We add all the numbers together, and all the variables
-1x^2-0.91x=0
a = -1; b = -0.91; c = 0;
Δ = b2-4ac
Δ = -0.912-4·(-1)·0
Δ = 0.8281
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{-(-0.91)-\sqrt{0.8281}}{2*-1}=\frac{0.91-\sqrt{0.8281}}{-2} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-0.91)+\sqrt{0.8281}}{2*-1}=\frac{0.91+\sqrt{0.8281}}{-2} $
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