ii) (3p2 + 17p + 10) = (p + 5)
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Required Answer:-
Given:
- 3p² + 17p + 10 = p + 5
To find:
- The values of p.
Solution:
We have,
➡ 3p² + 17p + 10 = p + 5
➡ 3p² + 17p - p + 10 - 5 = 0
➡ 3p² + 16p + 5 = 0
➡ 3p² + 15p + p + 5 = 0
➡ 3p(p + 5) + 1(p + 5) = 0
➡ (3p + 1)(p + 5) = 0
By zero product rule,
➡ Either 3p + 1 = 0 or p + 5 = 0
➡ p = -⅓, -5.
Hence, the values of p are -⅓ and -5.
Answer:
- The values of p are -⅓ and -5.
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