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(0.100x)(0.040x)/0.200-x=0.058
We move all terms to the left:
(0.100x)(0.040x)/0.200-x-(0.058)=0
We add all the numbers together, and all the variables
(+0.100x)(+0.040x)/0.200-x-(0.058)=0
We add all the numbers together, and all the variables
-1x+(+0.100x)(+0.040x)/0.200-0.058=0
We multiply parentheses ..
(+0x^2)/0.200-1x-0.058=0
We multiply all the terms by the denominator
(+0x^2)-1x*0.200-(0.058)*0.200=0
We add all the numbers together, and all the variables
(+0x^2)-1x*0.200-0.0116=0
Wy multiply elements
(+0x^2)-0.2x-0.0116=0
We get rid of parentheses
0x^2-0.2x-0.0116=0
We add all the numbers together, and all the variables
x^2-0.2x-0.0116=0
a = 1; b = -0.2; c = -0.0116;
Δ = b2-4ac
Δ = -0.22-4·1·(-0.0116)
Δ = 0.0864
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{-(-0.2)-\sqrt{0.0864}}{2*1}=\frac{0.2-\sqrt{0.0864}}{2} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-0.2)+\sqrt{0.0864}}{2*1}=\frac{0.2+\sqrt{0.0864}}{2} $
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