For what value of does have a repeated root at a negative value of and ?
Answer and explanation
Correct answer: A.
- Step 1: A repeated root needs , so ; with , .
- Step 2: Check: , whose repeated root is .
Answer
.
Why not the others: gives the root but breaks . For the discriminant is so there are no roots, and for and it is positive, so the roots are not repeated.
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