Question

if m+n =14 and mn = 48, then find the answer of m-n.

Answer 1

hey mate
here's ur answer

${(m + n)}^{2} = {m}^{2} + 2mn + {n}^{2} \\ 196 = 96 + {m}^{2} + {n}^{2} \\ 100 = {m}^{2} + {n}^{2}$
${(m - n)}^{2} = {m}^{2} - 2mn + {n}^{2} \\ {(m - n)}^{2} = 100 - 2(48) \\ = 100 - 96 \\ ( {m - n)}^{2} = 4 \\ m - n = \sqrt{4} = 2$
m-n=2
hope it helps

Answer 2

Answer:

Step-by-step explanation:

We know,

4mn = (m + n)^2 - (m - n)^2

4(48) = (14)^2 - (m - n)^2

192 = 196 - (m - n)^2

192 - 196 = - (m - n)^2

- 4 = - (m - n)^2

(m - n)^2 = 4

m - n = √4

m - n = 2