Question

If a and b are zeroes of the polynomial 2x²-4x+5,find the value of a²+b²​

Answer 1

Answer is in photo .

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Answer 2

Compare 2x²-4x+5 with

Ax²+Bx+C=0 , we get

A=2 , B= -4 , C=5

It is given that ,

a,b are zeroes of the polynomial

i ) a+b = -B/A =-(-4)/2 = 2

ii ) ab = C/A = 5/2

Now ,

a²+b² = (a+b)²-2ab

=2²-2(5/2)

= 4 - 5

=-1

Therefore ,

a²+b²=-1

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