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X(2)+X+X-4=72
We move all terms to the left:
X(2)+X+X-4-(72)=0
We add all the numbers together, and all the variables
X^2+2X-76=0
a = 1; b = 2; c = -76;
Δ = b2-4ac
Δ = 22-4·1·(-76)
Δ = 308
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}$$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$
The end solution:
$\sqrt{\Delta}=\sqrt{308}=\sqrt{4*77}=\sqrt{4}*\sqrt{77}=2\sqrt{77}$$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(2)-2\sqrt{77}}{2*1}=\frac{-2-2\sqrt{77}}{2} $$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(2)+2\sqrt{77}}{2*1}=\frac{-2+2\sqrt{77}}{2} $
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