Let p and q be the two distinct solutions to the equation (x -5)(2x + 9) = x2 -13x + 40.
What is (p + 3)(q + 3)?
+14913 Let p and q be the two distinct solutions to the equation (x -5)(2x + 9) = x2 -13x + 40.
What is (p + 3)(q + 3)?
Hello Guest!
\(\color{BrickRed}(x -5)(2x + 9) = x^2 -13x + 40\\ 2x^2+9x-10x-45= x^2 -13x + 40\\ x^2+12x-85=0\)
\(x=-6\pm\sqrt{36+85}\\ x=-6\pm 11\)
\(p=5\\ q=-17\\ \)
\( (p + 3)(q + 3)=8\cdot (-14)\)
\( (p + 3)(q + 3)=-112\)
!
