Question discussion

In the quadratic equation x² − 8x + k = 0, one root is three times the other root. What is the value of k?

2257Medium DSSSB TGT Computer Science 0 replies 1 views
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In the quadratic equation x² − 8x + k = 0, one root is three times the other root. What is the value of k?

  • A15
  • B16
  • C12
  • D9
Correct answer: C

Explanation

If the roots are r and 3r, then 4r = 8 gives r = 2, so the roots are 2 and 6 and k = 2 × 6 = 12.

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