1.

5a+6b is equals to 15 and ab is equal to 5 . Find 25asquare+36bsquare

Answer»

5a + 6b = 15

ab = 5

on SQUARING on both sides

( 5a + 6b ) ^ 2 = 15 ^2 = ( a + B ) ^2 = a^2 + b^2 + 2 (ab)

= ( 5a ^ 2 + 6b ^2 + 2 ( 5 ) = 225

25a^ 2 + 36b ^ 2 + 10 = 225

25a^2 + 36b^2 = 225 - 10 = 215


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