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0.6x(2.8-x)=48.6
We move all terms to the left:
0.6x(2.8-x)-(48.6)=0
We add all the numbers together, and all the variables
0.6x(-1x+2.8)-(48.6)=0
We add all the numbers together, and all the variables
0.6x(-1x+2.8)-48.6=0
We multiply parentheses
0x^2+0x-48.6=0
We add all the numbers together, and all the variables
x^2+x-48.6=0
a = 1; b = 1; c = -48.6;
Δ = b2-4ac
Δ = 12-4·1·(-48.6)
Δ = 195.4
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{-(1)-\sqrt{195.4}}{2*1}=\frac{-1-\sqrt{195.4}}{2} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1)+\sqrt{195.4}}{2*1}=\frac{-1+\sqrt{195.4}}{2} $
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