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-.7x(x-11)=1.4x+5.8
We move all terms to the left:
-.7x(x-11)-(1.4x+5.8)=0
We multiply parentheses
-x^2+11x-(1.4x+5.8)=0
We get rid of parentheses
-x^2+11x-1.4x-5.8=0
We add all the numbers together, and all the variables
-1x^2+9.6x-5.8=0
a = -1; b = 9.6; c = -5.8;
Δ = b2-4ac
Δ = 9.62-4·(-1)·(-5.8)
Δ = 68.96
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{-(9.6)-\sqrt{68.96}}{2*-1}=\frac{-9.6-\sqrt{68.96}}{-2} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(9.6)+\sqrt{68.96}}{2*-1}=\frac{-9.6+\sqrt{68.96}}{-2} $
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