Answer: x = 2 ; -11 . ___________________________________ Explanation: _____________________________________________ Given the equation: _____________________________________________ x² + 9x −<span> 22 = 0 ; Solve for: "x" ; _____________________________________________
Let us factor the "left-hand side" of the equation: _____________________________________________ "x</span>² + 9x −<span> 22" ; _____________________________________________
What are the factors of "-22"" that add up to "positive 9" ? _____________________________________________ Let us list the factors of "-22" : ____________________________________________ -2, 11; </span>→ -2 + 11 = 9 ;<span> -11, 2; </span>→ -11 + 2 = -9 ;<span> ____________________________________________
So we have: "-2" and "11" ; ____________________________________________ So; </span> "x² + 9x − 22" ; factors into " (x−2)(x + 11)" ; ____________________________________________ We have: (x−2)(x + 11) = 0 ;
So: x − 2 = 0 ;
Add "2" to each side of the equation;
x − 2 + 2 = 0 + 2 ;
x = 2 ; ___________________________________ x + 11 = 0 ;