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-x^2-(1.8(10^-5)x)+(4.8*10^-6)=0
We add all the numbers together, and all the variables
-1x^2-(1.8(10^-5)x)-6+4.8E=0
We calculate terms in parentheses: -(1.8(10^-5)x), so:We add all the numbers together, and all the variables
1.8(10^-5)x
We multiply parentheses
10x^2-5x
Back to the equation:
-(10x^2-5x)
-1x^2-(10x^2-5x)+7.0477527766=0
We get rid of parentheses
-1x^2-10x^2+5x+7.0477527766=0
We add all the numbers together, and all the variables
-11x^2+5x+7.0477527766=0
a = -11; b = 5; c = +7.0477527766;
Δ = b2-4ac
Δ = 52-4·(-11)·7.0477527766
Δ = 335.10112217
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{-(5)-\sqrt{335.10112217}}{2*-11}=\frac{-5-\sqrt{335.10112217}}{-22} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(5)+\sqrt{335.10112217}}{2*-11}=\frac{-5+\sqrt{335.10112217}}{-22} $
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