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X+4=X2-16
We move all terms to the left:
X+4-(X2-16)=0
We add all the numbers together, and all the variables
-(+X^2-16)+X+4=0
We get rid of parentheses
-X^2+X+16+4=0
We add all the numbers together, and all the variables
-1X^2+X+20=0
a = -1; b = 1; c = +20;
Δ = b2-4ac
Δ = 12-4·(-1)·20
Δ = 81
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}$$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$$\sqrt{\Delta}=\sqrt{81}=9$$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(1)-9}{2*-1}=\frac{-10}{-2} =+5 $$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1)+9}{2*-1}=\frac{8}{-2} =-4 $
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