3. If a + b = 12 and a-b²=96. What is the value of a? (a) 2 (6) 4 (c)8 (d)10
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Step-by-step explanation:
Correct option is A)
Formula,
(a+b+c)2=a2+b2+c2+2ab+2bc+2ca
⇒(a+b+c)2=a2+b2+c2+2(ab+bc+ca)
Given,
ab+bc+ca=10,a2+b2+c2=16
⇒(a+b+c)2=16+2(10)
a+b+c=16+20=6
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