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36x^2+11x-5=0
a = 36; b = 11; c = -5;
Δ = b2-4ac
Δ = 112-4·36·(-5)
Δ = 841
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{841}=29$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(11)-29}{2*36}=\frac{-40}{72} =-5/9 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(11)+29}{2*36}=\frac{18}{72} =1/4 $
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