Answer:
−2<x<5
Step-by-step explanation:
x2−3x=10
x2−3x−10=10−10(Subtract 10 from both sides)
x2−3x−10=0
(x+2)(x−5)=0(Factor left side of equation)
x+2=0 or x−5=0(Set factors equal to 0)
x=−2 or x=5
Check values in the intervals to see if they work.
x<−2(Doesn't work in original inequality)
−2<x<5(Works in original inequality)
x>5(Doesn't work in original inequality)
So, the proper answer for me is −2<x<5.
