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-4.9x^2+30x+50=0
a = -4.9; b = 30; c = +50;
Δ = b2-4ac
Δ = 302-4·(-4.9)·50
Δ = 1880
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}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$
The end solution:
$\sqrt{\Delta}=\sqrt{1880}=\sqrt{4*470}=\sqrt{4}*\sqrt{470}=2\sqrt{470}$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(30)-2\sqrt{470}}{2*-4.9}=\frac{-30-2\sqrt{470}}{-9.8} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(30)+2\sqrt{470}}{2*-4.9}=\frac{-30+2\sqrt{470}}{-9.8} $
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