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24.5x+-4.9x^2=29.4
We move all terms to the left:
24.5x+-4.9x^2-(29.4)=0
We add all the numbers together, and all the variables
-4.9x^2+24.5x-29.4=0
a = -4.9; b = 24.5; c = -29.4;
Δ = b2-4ac
Δ = 24.52-4·(-4.9)·(-29.4)
Δ = 24.01
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{-(24.5)-\sqrt{24.01}}{2*-4.9}=\frac{-24.5-\sqrt{24.01}}{-9.8} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(24.5)+\sqrt{24.01}}{2*-4.9}=\frac{-24.5+\sqrt{24.01}}{-9.8} $
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