if a+b=8 and ab=15 find the value of (a²+b²) explain properly no spamming
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if a+b=8 and ab=15 find the value of (a²+b²) explain properly no spamming
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Verified answer
a + b = 8
=> (a + b)^2 = (8)^2 = 64 .......(i)
and,
ab = 15
=> 2ab = 30 .............................(ii)
It is true that (a+b)^2 = a^2 + b+2 + 2ab
=> a^2 + b^2 = (a+b)^2 - 2ab
=> a^2 + b^2 = 64 - 30. ...........(from i and ii)
=> a^2 + b^2 = 34.
Thus, the correct answer is 34!
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