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4.9x^2-16x+7=0
a = 4.9; b = -16; c = +7;
Δ = b2-4ac
Δ = -162-4·4.9·7
Δ = 118.8
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{-(-16)-\sqrt{118.8}}{2*4.9}=\frac{16-\sqrt{118.8}}{9.8} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-16)+\sqrt{118.8}}{2*4.9}=\frac{16+\sqrt{118.8}}{9.8} $
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