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x^2=8.8x+4.8
We move all terms to the left:
x^2-(8.8x+4.8)=0
We get rid of parentheses
x^2-8.8x-4.8=0
a = 1; b = -8.8; c = -4.8;
Δ = b2-4ac
Δ = -8.82-4·1·(-4.8)
Δ = 96.64
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{-(-8.8)-\sqrt{96.64}}{2*1}=\frac{8.8-\sqrt{96.64}}{2} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-8.8)+\sqrt{96.64}}{2*1}=\frac{8.8+\sqrt{96.64}}{2} $
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