Question

If m²+n²=52, mn=24, m>n, what is m-n

Answer 1

Answer:

${(m - n)}^{2} = {m}^{2} + {n}^{2} - 2mn$

${(m - n)}^{2} = 52 - 2 \times 24$

${(m - n)}^{2} = 4$

$m - n = \sqrt{4}$

$m - n = + 2 \: \: and \: - 2$

Answer 2

here m=6 and n=4

i.e m×n=6×4=24

and 6>4

${m}^{2} + {n}^{2} = {6}^{2} + {4}^{2} = 36 + 16 = 52$

Therefore , m-n = 6-4= 2.