The roots of are and . Which equation has roots and ?
Answer and explanation
Correct answer: D.
- Step 1: , .
- Step 2: New sum: . New product: .
- Step 3: The equation is .
Answer
.
Why not the others: is what you get if you square the sum of the roots instead of finding the sum of squares. is what you get if you take the wrong sign of the sum of roots. is what you get if you forget to square the product of the roots.
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