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0=-0.1x^2+2.4x+8.1
We move all terms to the left:
0-(-0.1x^2+2.4x+8.1)=0
We add all the numbers together, and all the variables
-(-0.1x^2+2.4x+8.1)=0
We get rid of parentheses
0.1x^2-2.4x-8.1=0
a = 0.1; b = -2.4; c = -8.1;
Δ = b2-4ac
Δ = -2.42-4·0.1·(-8.1)
Δ = 9
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}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$$\sqrt{\Delta}=\sqrt{9}=3$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-2.4)-3}{2*0.1}=\frac{-0.6}{0.2} =-2+0.2/0.2 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-2.4)+3}{2*0.1}=\frac{5.4}{0.2} =27 $
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