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प्रश्न
If (x + a)(x + b)(x + c) = x3 + 14x2 + 59x + 70, find the value of a2 + b2 + c2
उत्तर
(x + a)(x + b)(x + c) = x3 + 14x2 + 59x + 70
x3 + (a + b + c)x2 + (ab + bc + ac)x + abc = x3 + 14x2 + 59x + 70
a + b + c = 14, ab + bc + ac = 59, abc = 70
a2 + b2 + c2 = (a + b + c)2 – 2(ab + bc + ac)
= (14)2 – 2(59)
= 196 – 118
= 78
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