Math, asked by anshkumarsingh96, 1 month ago

lf 3a +4b = 16 and ab =4, find the value of 9a² + 16b² .​

Answers

Answered by mcs00335RAGHVENDRA
26

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 abhishek4205786
5

Answer:

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