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=Y2-7Y-11
We move all terms to the left:
-(Y2-7Y-11)=0
We add all the numbers together, and all the variables
-(+Y^2-7Y-11)=0
We get rid of parentheses
-Y^2+7Y+11=0
We add all the numbers together, and all the variables
-1Y^2+7Y+11=0
a = -1; b = 7; c = +11;
Δ = b2-4ac
Δ = 72-4·(-1)·11
Δ = 93
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:$Y_{1}=\frac{-b-\sqrt{\Delta}}{2a}$$Y_{2}=\frac{-b+\sqrt{\Delta}}{2a}$$Y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(7)-\sqrt{93}}{2*-1}=\frac{-7-\sqrt{93}}{-2} $$Y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(7)+\sqrt{93}}{2*-1}=\frac{-7+\sqrt{93}}{-2} $
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