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-x^2-1.8x+5.4=0
We add all the numbers together, and all the variables
-1x^2-1.8x+5.4=0
a = -1; b = -1.8; c = +5.4;
Δ = b2-4ac
Δ = -1.82-4·(-1)·5.4
Δ = 24.84
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{-(-1.8)-\sqrt{24.84}}{2*-1}=\frac{1.8-\sqrt{24.84}}{-2} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-1.8)+\sqrt{24.84}}{2*-1}=\frac{1.8+\sqrt{24.84}}{-2} $
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