If a, b, c are roots of the equation 1x3-4x2+6.5x + 3.5 = 0, then what is the value of a2 + b2 + c2?
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a, b, c are the roots of the equation x³-4x²+6.5x+3.5=0 -------------------(1)
Then,
a+b+c=-(-4)=4
ab+bc+ca=6.5
abc=-3.5
∴, a²+b²+c²
=(a+b+c)²-2(ab+bc+ca)
=(4)²-2×(6.5)
=16-13
=3 Ans.
Then,
a+b+c=-(-4)=4
ab+bc+ca=6.5
abc=-3.5
∴, a²+b²+c²
=(a+b+c)²-2(ab+bc+ca)
=(4)²-2×(6.5)
=16-13
=3 Ans.
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