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h^2+5h-27=0
a = 1; b = 5; c = -27;
Δ = b2-4ac
Δ = 52-4·1·(-27)
Δ = 133
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:$h_{1}=\frac{-b-\sqrt{\Delta}}{2a}$$h_{2}=\frac{-b+\sqrt{\Delta}}{2a}$$h_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(5)-\sqrt{133}}{2*1}=\frac{-5-\sqrt{133}}{2} $$h_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(5)+\sqrt{133}}{2*1}=\frac{-5+\sqrt{133}}{2} $
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