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x^2/2.5-x=6.3*10^-4
We move all terms to the left:
x^2/2.5-x-(6.3*10^-4)=0
We add all the numbers together, and all the variables
x^2/2.5-1x-0.00063=0
We multiply all the terms by the denominator
x^2-1x*2.5-(0.00063)*2.5=0
We add all the numbers together, and all the variables
x^2-1x*2.5-0.001575=0
Wy multiply elements
x^2-2.5x-0.001575=0
a = 1; b = -2.5; c = -0.001575;
Δ = b2-4ac
Δ = -2.52-4·1·(-0.001575)
Δ = 6.2563
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{-(-2.5)-\sqrt{6.2563}}{2*1}=\frac{2.5-\sqrt{6.2563}}{2} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-2.5)+\sqrt{6.2563}}{2*1}=\frac{2.5+\sqrt{6.2563}}{2} $
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