Answer:
8 and 9 or -8 and -9
Step-by-step explanation:
x - first integer
x+1 - the next consecutive integer
x(x+1) - their product
x(x + 1) - 147 = -75
x² + x - 72 = 0
[tex]x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}=\dfrac{-1\pm\sqrt{1-4(-72)}}{2}=\dfrac{-1\pm\sqrt{289}}{2}\\\\\\x_1=\dfrac{-1+17}2=8\,,\qquad x_2\dfrac{-1-17}2=-9\\\\x_1+1=9\,,\qquad\qquad\qquad x_2+1=-8[/tex]
