Question

plz try this sum it's from the chapter polynomials and it's of class 10th.

Answer 1

given

p(x) = ax^2 +bx+b

here a=a , b=b , c= b

it's zeroes are in ratio

(alpha+beta)/ (alpha•beta) = m/n ___(1

also from zeroes formula of quadratic polynomial
we have____

alpha + beta = -b/a

and alpha•beta = c/a = b/a

put these values in eqn (1)

then

(-b/a) / (b/a) = m/n

=> -1 = m/n
square both sides and thentake sq. root

1 =√(m/n)^2
m/n = 1
hence n/m = 1 = m/n

therefore

√(m/n) + √(n/m) =√1 +✓1 = 2