find the solution set of the following quadratic inequalities
2x²-x-1<0
show your solution
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find the solution set of the following quadratic inequalities
2x²-x-1<0
show your solution
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Verified answer
Answer:
−1/2 < x < 1
Step-by-step explanation:
Let's solve your inequality step-by-step.
2x2−x−1<0
Let's find the critical points of the inequality.
2x2−x−1=0
(2x+1)(x−1)=0(Factor left side of equation)
2x+1=0 or x−1=0(Set factors equal to 0)
x=−12 or x=1
Check intervals in between critical points. (Test values in the intervals to see if they work.)
x<−12(Doesn't work in original inequality)
−12<x<1(Works in original inequality)
x>1(Doesn't work in original inequality)