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11x^2-220x+350=0
a = 11; b = -220; c = +350;
Δ = b2-4ac
Δ = -2202-4·11·350
Δ = 33000
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}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$
The end solution:
$\sqrt{\Delta}=\sqrt{33000}=\sqrt{100*330}=\sqrt{100}*\sqrt{330}=10\sqrt{330}$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-220)-10\sqrt{330}}{2*11}=\frac{220-10\sqrt{330}}{22} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-220)+10\sqrt{330}}{2*11}=\frac{220+10\sqrt{330}}{22} $
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