Practicing Success
If 2p + q = 19 and 8p3 + q3 = 361, then find the value of pq. |
56 59 58 57 |
57 |
If 2p + q = 19 and 8p3 + q3 = 361 a3 + \(\frac{1}{a^3}\) = (a + \(\frac{1}{a}\))3 – 3(a + \(\frac{1}{a}\)) 361 = 193 - 3 × 19 × 2pq 2pq = 114 pq = 57 |