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0.4x^2-138x+3660=0
a = 0.4; b = -138; c = +3660;
Δ = b2-4ac
Δ = -1382-4·0.4·3660
Δ = 13188
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}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$
The end solution:
$\sqrt{\Delta}=\sqrt{13188}=\sqrt{4*3297}=\sqrt{4}*\sqrt{3297}=2\sqrt{3297}$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-138)-2\sqrt{3297}}{2*0.4}=\frac{138-2\sqrt{3297}}{0.8} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-138)+2\sqrt{3297}}{2*0.4}=\frac{138+2\sqrt{3297}}{0.8} $
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