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4.9x^2+27x+2.4=30
We move all terms to the left:
4.9x^2+27x+2.4-(30)=0
We add all the numbers together, and all the variables
4.9x^2+27x-27.6=0
a = 4.9; b = 27; c = -27.6;
Δ = b2-4ac
Δ = 272-4·4.9·(-27.6)
Δ = 1269.96
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}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(27)-\sqrt{1269.96}}{2*4.9}=\frac{-27-\sqrt{1269.96}}{9.8} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(27)+\sqrt{1269.96}}{2*4.9}=\frac{-27+\sqrt{1269.96}}{9.8} $
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