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-18x^2-2.8x+1.96=0
a = -18; b = -2.8; c = +1.96;
Δ = b2-4ac
Δ = -2.82-4·(-18)·1.96
Δ = 148.96
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{-(-2.8)-\sqrt{148.96}}{2*-18}=\frac{2.8-\sqrt{148.96}}{-36} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-2.8)+\sqrt{148.96}}{2*-18}=\frac{2.8+\sqrt{148.96}}{-36} $
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