Question

find the value of m-n if m+n is equal to 7 and mn is equal to 12​

Answer 1

m-n = 1

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Answer 2

Step-by-step explanation:

Question

• find the value of m-n if m+n is equal to 7 and mn is equal to 12

Given

• m + n = 7
• mn = 12

Answer

We know that,

${(a - b)}^{2} = {(a + b)}^{2} - 4ab$

Here, a = m and b = n

So,

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

As, m + n = 7 and mn = 12

Substituting the values,

${(m - n)}^{2} = {7}^{2} - 4(12)$

${(m - n)}^{2} = 49 - 48$

${(m - n)}^{2} = 1$

$( m - n) = \sqrt{1}$

$m - n = 1$

Therefore, the value to m -n = 1

Sathvik ✍️