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X2-2X-4=-2.4
We move all terms to the left:
X2-2X-4-(-2.4)=0
We add all the numbers together, and all the variables
X^2-2X-1.6=0
a = 1; b = -2; c = -1.6;
Δ = b2-4ac
Δ = -22-4·1·(-1.6)
Δ = 10.4
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)-\sqrt{10.4}}{2*1}=\frac{2-\sqrt{10.4}}{2} $$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-2)+\sqrt{10.4}}{2*1}=\frac{2+\sqrt{10.4}}{2} $
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