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4.9x^2-32x+3=0
a = 4.9; b = -32; c = +3;
Δ = b2-4ac
Δ = -322-4·4.9·3
Δ = 965.2
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{-(-32)-\sqrt{965.2}}{2*4.9}=\frac{32-\sqrt{965.2}}{9.8} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-32)+\sqrt{965.2}}{2*4.9}=\frac{32+\sqrt{965.2}}{9.8} $
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