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.4X(.3X)=220
We move all terms to the left:
.4X(.3X)-(220)=0
We add all the numbers together, and all the variables
.4X(+.3X)-220=0
We multiply parentheses
X^2-220=0
a = 1; b = 0; c = -220;
Δ = b2-4ac
Δ = 02-4·1·(-220)
Δ = 880
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}$$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$
The end solution:
$\sqrt{\Delta}=\sqrt{880}=\sqrt{16*55}=\sqrt{16}*\sqrt{55}=4\sqrt{55}$$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-4\sqrt{55}}{2*1}=\frac{0-4\sqrt{55}}{2} =-\frac{4\sqrt{55}}{2} =-2\sqrt{55} $$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+4\sqrt{55}}{2*1}=\frac{0+4\sqrt{55}}{2} =\frac{4\sqrt{55}}{2} =2\sqrt{55} $
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