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-24.5x^2+24.5x+4=0
a = -24.5; b = 24.5; c = +4;
Δ = b2-4ac
Δ = 24.52-4·(-24.5)·4
Δ = 992.25
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{-(24.5)-\sqrt{992.25}}{2*-24.5}=\frac{-24.5-\sqrt{992.25}}{-49} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(24.5)+\sqrt{992.25}}{2*-24.5}=\frac{-24.5+\sqrt{992.25}}{-49} $
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