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(X+.033)(X-0.16)=0
We add all the numbers together, and all the variables
(X+0.033)(X-0.16)=0
We multiply parentheses ..
(+X^2-0.16X+0.033X-0.00528)=0
We get rid of parentheses
X^2-0.16X+0.033X-0.00528=0
We add all the numbers together, and all the variables
X^2-0.127X-0.00528=0
a = 1; b = -0.127; c = -0.00528;
Δ = b2-4ac
Δ = -0.1272-4·1·(-0.00528)
Δ = 0.037249
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{-(-0.127)-\sqrt{0.037249}}{2*1}=\frac{0.127-\sqrt{0.037249}}{2} $$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-0.127)+\sqrt{0.037249}}{2*1}=\frac{0.127+\sqrt{0.037249}}{2} $
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