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x(x+18)=3.5(3.5+14.5)
We move all terms to the left:
x(x+18)-(3.5(3.5+14.5))=0
We add all the numbers together, and all the variables
x(x+18)-(3.518)=0
We add all the numbers together, and all the variables
x(x+18)-3.518=0
We multiply parentheses
x^2+18x-3.518=0
a = 1; b = 18; c = -3.518;
Δ = b2-4ac
Δ = 182-4·1·(-3.518)
Δ = 338.072
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{-(18)-\sqrt{338.072}}{2*1}=\frac{-18-\sqrt{338.072}}{2} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(18)+\sqrt{338.072}}{2*1}=\frac{-18+\sqrt{338.072}}{2} $
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