📢 Too many exams? Don’t know which one suits you best? Book Your Free Expert 👉 call Now!

    Question

    If p = 25 - q - r and pq + r(q + p) = 189, then find the

    value of (p² + q² + r²).
    A 243 Correct Answer Incorrect Answer
    B 247 Correct Answer Incorrect Answer
    C 251 Correct Answer Incorrect Answer
    D 257 Correct Answer Incorrect Answer

    Solution

    We have, p = 25 - q - r So, p + q + r = 25 And, pq + r(q + p) = 189 Or, pq + qr + pr = 189 Using, (p + q + r)² = p² + q² + r² + 2(pq + qr + pr) So, 25² = (p² + q² + r²) + 2 × 189 Or, 625 = (p² + q² + r²) + 378 Or, p² + q² + r² = 625 - 378 Or, p² + q² + r² = 247

    Practice Next
    More Algebra Questions

    Relevant for Exams:

    ask-question