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247=330x+4.9x^2
We move all terms to the left:
247-(330x+4.9x^2)=0
We get rid of parentheses
-4.9x^2-330x+247=0
a = -4.9; b = -330; c = +247;
Δ = b2-4ac
Δ = -3302-4·(-4.9)·247
Δ = 113741.2
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{-(-330)-\sqrt{113741.2}}{2*-4.9}=\frac{330-\sqrt{113741.2}}{-9.8} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-330)+\sqrt{113741.2}}{2*-4.9}=\frac{330+\sqrt{113741.2}}{-9.8} $
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