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-7y^2+9y+2=0
a = -7; b = 9; c = +2;
Δ = b2-4ac
Δ = 92-4·(-7)·2
Δ = 137
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{-(9)-\sqrt{137}}{2*-7}=\frac{-9-\sqrt{137}}{-14} $$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(9)+\sqrt{137}}{2*-7}=\frac{-9+\sqrt{137}}{-14} $
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