Question

If a and b are the zeros of quadratic polynomial x²-2x+3 then find the value of a²+b²​

Answer 1

Answer:

find the value of a²+b²​

Step-by-step explanation:

f(x)=x2  −2x+3 have zeroes α,β

⇒α+β=2

⇒α⋅β=3

Now polynomial having  α+2,β+2 as roots is

p(x)=x2 −(α+2+β+2)x+(α+2)(β+2)

=x2−(α+β+4)x+αβ+2(α+β)+4

=x2 −(2+4)x+3+2(2)+4

⇒x2 −6x+11

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