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=(7E-5)(6E-8)
We move all terms to the left:
-((7E-5)(6E-8))=0
We multiply parentheses ..
-((+42E^2-56E-30E+40))=0
We calculate terms in parentheses: -((+42E^2-56E-30E+40)), so:We get rid of parentheses
(+42E^2-56E-30E+40)
We get rid of parentheses
42E^2-56E-30E+40
We add all the numbers together, and all the variables
42E^2-86E+40
Back to the equation:
-(42E^2-86E+40)
-42E^2+86E-40=0
a = -42; b = 86; c = -40;
Δ = b2-4ac
Δ = 862-4·(-42)·(-40)
Δ = 676
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:$E_{1}=\frac{-b-\sqrt{\Delta}}{2a}$$E_{2}=\frac{-b+\sqrt{\Delta}}{2a}$$\sqrt{\Delta}=\sqrt{676}=26$$E_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(86)-26}{2*-42}=\frac{-112}{-84} =1+1/3 $$E_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(86)+26}{2*-42}=\frac{-60}{-84} =5/7 $
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