ICSE Class 9 Answered
If (3a+4b) =16 and ab=4 , find the value of (9asquare+16bsquare)
Asked by namratasengar6415.9sdatl | 13 May, 2020, 08:28: AM
Expert Answer
Given: 3a+4b = 16 ... (i) and ab = 4 ... (ii)
Squaring (i), we get
(3a+4b)2 = 162
9a2 + 16b2 + 24ab = 256
9a2 + 16b2 + 24 x 4 = 256 ... Using (ii)
9a2 + 16b2 = 256 - 96 = 160
Hence, 9a2 + 16b2 = 160.
Answered by Renu Varma | 13 May, 2020, 10:47: AM
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