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h2+3h=30
We move all terms to the left:
h2+3h-(30)=0
We add all the numbers together, and all the variables
h^2+3h-30=0
a = 1; b = 3; c = -30;
Δ = b2-4ac
Δ = 32-4·1·(-30)
Δ = 129
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{-(3)-\sqrt{129}}{2*1}=\frac{-3-\sqrt{129}}{2} $$h_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(3)+\sqrt{129}}{2*1}=\frac{-3+\sqrt{129}}{2} $
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