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0.638x^2+6.671x+627.619=840.000
We move all terms to the left:
0.638x^2+6.671x+627.619-(840.000)=0
We add all the numbers together, and all the variables
0.638x^2+6.671x+627.619-840=0
We add all the numbers together, and all the variables
0.638x^2+6.671x-212.381=0
a = 0.638; b = 6.671; c = -212.381;
Δ = b2-4ac
Δ = 6.6712-4·0.638·(-212.381)
Δ = 586.498553
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{-(6.671)-\sqrt{586.498553}}{2*0.638}=\frac{-6.671-\sqrt{586.498553}}{1.276} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(6.671)+\sqrt{586.498553}}{2*0.638}=\frac{-6.671+\sqrt{586.498553}}{1.276} $
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