If one of the zeros of the quadratic polynomial (k – 1)x2 + kx + 1 is (-3), then find the
value of k.
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❒ Given :
- Supposing one of the zeroes of the given polynomial is (-3)
- Quadratic polynomial = (k - 1)x² + kx + 1
❒ To Find :
- The value of k
❒ Stepwise Answer :
Given that,
P(x) = ( k -1 ) x² + kx + 1 = 0.
➯ p( -3 ) = ( k – 1 ) (-3)² + k (-3) + 1 = 0.
⇒ ( k – 1 ) × 9 -3 k + 1 = 0.
⇒ 9k – 9 – 3k + 1 = 0.
⇒ 6k – 8 = 0.
⇒ 6k = 8.
❒ Therefore,
k = 8/6 = 4/3
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