If 2a+ 3b = 7 & ab = 2, then find value of 8a^3+27b^3
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Answer:
a = 3/2 or 2
b = 4/3 or 1
Step-by-step explanation:
2a + 3b = 7 --(i)
ab = 2
b = 2/a -- (ii)
putting b = 2/a in eq(i)
2a + 3( 2/a ) = 7
2a + 6/a - 7 = 0
2a^2 + 6 - 7a
___________ = 0
a
2a^2 - 7a +6 = 0
a = 3/2 or 2 [ by middle term splitting ]
putting a = 3/2 and 2 in eq (ii)
therefore , b = 4/3 or 1
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