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X^2-100X-2.4=0
a = 1; b = -100; c = -2.4;
Δ = b2-4ac
Δ = -1002-4·1·(-2.4)
Δ = 10009.6
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{-(-100)-\sqrt{10009.6}}{2*1}=\frac{100-\sqrt{10009.6}}{2} $$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-100)+\sqrt{10009.6}}{2*1}=\frac{100+\sqrt{10009.6}}{2} $
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