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-12x^2+5x-5/11=0
We multiply all the terms by the denominator
-12x^2*11+5x*11-5=0
Wy multiply elements
-132x^2+55x-5=0
a = -132; b = 55; c = -5;
Δ = b2-4ac
Δ = 552-4·(-132)·(-5)
Δ = 385
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{-(55)-\sqrt{385}}{2*-132}=\frac{-55-\sqrt{385}}{-264} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(55)+\sqrt{385}}{2*-132}=\frac{-55+\sqrt{385}}{-264} $
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