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15x^2=11x-2
We move all terms to the left:
15x^2-(11x-2)=0
We get rid of parentheses
15x^2-11x+2=0
a = 15; b = -11; c = +2;
Δ = b2-4ac
Δ = -112-4·15·2
Δ = 1
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{1}=1$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-11)-1}{2*15}=\frac{10}{30} =1/3 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-11)+1}{2*15}=\frac{12}{30} =2/5 $
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