Question

If m and n are the zeroes of the quadratic polynomial f(x)=x2-5x+7, then find the values of:
a. m2+n2
b. m 1+n-1​

Answer 1

Answer:

f(x)=x

2

−p(A+1)−c

=x

2

−px−(p+c)

Comparing with ax

2

+bx+c, we have

a=1b=−pc=−(p+c)

∝+β=

a

−b

=−

1

(−p)

∝β=

a

c

=−(p+c)

∵(∝+1)(β+1)

=∝β+∝+β+1

=−p−c+p+1

=1−c

∵(∝+1)(β+1)=1−c