Question

if m and n are roots of a quadratic equation X2 - 3 x + 1 =0 then find the value of m/n+ n/m​

Answer 1

Step-by-step explanation:

GIVEN

P(x) = 3x^2 + 11 x - 4

Now make P(x) = 0

Therefore, 3x^2 + 11 x - 4 = 0

Factorize

3x^2 + 12x -x - 4 = 0

3x (x + 4) - 1 (x + 4) = 0

(3x - 1) (x + 4) = 0

3x - 1 = 0 & x + 4 = 0

3x = 1 & x = - 4

x = 1 / 3 & - 4

Assume 1 / 3 as m and - 4 as n

FIND

m/n +n/m

Subsitute m and n value

[(1 / 3) / (- 4)] + [(- 4) / (1 / 3)]

= [(1 / 3) / (- 4 / 1 )] + [(- 4 / 1) / (1 / 3)]

= (- 1 / 1 2) + (- 12)

= (- 1 / 1 2) - 12

LCM is 12

(- 1 - 144) / 12

= - 145 / 12

Answer 2

Answer:

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