Question

If m+n=5 and mn=6, find the value of m-n

Answer 1

Answer:

1

Step-by-step explanation:

(m+n)² = m² + n² + 2mn

5² = m² + n² + 2 × 6

25 - 12 = m² + n²

m² + n² = 13

(m - n)² = m² + n² - 2mn

= 13 - 2 × 6

= 1

(m -n)² = 1

so m - n = root 1 ie 1

Answer 2

Answer:

Step-by-step explanation:

m + n = 5

mn = 6

hence, n = 6/m

m + n = m + 6/ m = 5

            m² + 6 = 5m

             m² -5m +6 = 0

             m² - 2m - 3m +6 = 0

            m(m - 2) - 3( m - 2) = 0

           (m - 2)(m - 3) = 0

hence, m=2  and m = 3

now,  n = 6/2 = 3   and n = 6/3 = 2

now, m-n = 2 -3 = -1   or n = 3 - 2 = 1