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X(X+7)=3.6
We move all terms to the left:
X(X+7)-(3.6)=0
We add all the numbers together, and all the variables
X(X+7)-3.6=0
We multiply parentheses
X^2+7X-3.6=0
a = 1; b = 7; c = -3.6;
Δ = b2-4ac
Δ = 72-4·1·(-3.6)
Δ = 63.4
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{-(7)-\sqrt{63.4}}{2*1}=\frac{-7-\sqrt{63.4}}{2} $$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(7)+\sqrt{63.4}}{2*1}=\frac{-7+\sqrt{63.4}}{2} $
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