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If m+n=14 and mn =48 then …

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If m+n=14 and mn =48 then find the value of m-n

Posted by Harsh Bansal 6 years, 7 months ago

CBSE > Class 07 > Mathematics

1 answers

Yogita Ingle 6 years, 7 months ago

(m + n)² = m² + 2mn + n²
(14)² = m² + 2(48) + n²
196 = m² + 96 + n²
m² + n² = 196 - 96 = 100
(m-n)² = m² - 2mn + n²
(m - n)² = 100 - 2(48)
(m - n)² = 100 - 96
(m-n)² = 4
m - n = 2

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CBSE > Class 07 > Mathematics