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11x(6x+9)-2=17+1
We move all terms to the left:
11x(6x+9)-2-(17+1)=0
We add all the numbers together, and all the variables
11x(6x+9)-2-18=0
We add all the numbers together, and all the variables
11x(6x+9)-20=0
We multiply parentheses
66x^2+99x-20=0
a = 66; b = 99; c = -20;
Δ = b2-4ac
Δ = 992-4·66·(-20)
Δ = 15081
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{-(99)-\sqrt{15081}}{2*66}=\frac{-99-\sqrt{15081}}{132} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(99)+\sqrt{15081}}{2*66}=\frac{-99+\sqrt{15081}}{132} $
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