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x2-4.6x+5.29=6.2
We move all terms to the left:
x2-4.6x+5.29-(6.2)=0
We add all the numbers together, and all the variables
x^2-4.6x-0.91=0
a = 1; b = -4.6; c = -0.91;
Δ = b2-4ac
Δ = -4.62-4·1·(-0.91)
Δ = 24.8
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{-(-4.6)-\sqrt{24.8}}{2*1}=\frac{4.6-\sqrt{24.8}}{2} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-4.6)+\sqrt{24.8}}{2*1}=\frac{4.6+\sqrt{24.8}}{2} $
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