Question

if m and n are the zeros of the quadratic polynomial x^2-2x+1, then find the value of m^2+n^2

Answer 1

Answer:

polynomial= x^2-2x+1

sum of zeroes of polynomial = -b/a = -(-2)/1= 2 = m

product of zeroes of polynomial= c/a = 1/1 = 1 = n

and value of m^2+n^2 = 2^2+1^2= 4+1 =5..

Answer 2

Answer:

2

Step-by-step explanation:

x²-2x+1=0

=>x²-x-x+1=0

=>x(x-1)-1(x-1)=0

=>(x-1)(x-1)=0

=>x=1 or x=1

i.e m and n are 1 and 1.

so,

m²+n²=1²+1²=1+1=2

HOPE IT HELPS,

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