Question

If m-n=7 and m n = 5, find the value
of m square and +n square​

Answer 1

Answer:

Given

$m-n=7 \: \: and \: \: \: mn = 5$

HENCE

${m}^{2} + {n}^{2}$

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

$= {7}^{2} + 2 \times 5$

$= 49 + 10$

$= 59$

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Answer 2

GIVEN :–

• m - n = 7

• mn = 5

TO FIND :–

▪︎ m² + n² = ?

SOLUTION :–

=> m - n = 7

• Square on both sides –

=> (m - n)² = (7)²

=> (m - n)² = 49

• We know that –

➲ (a - b)² = a² + b² - 2ab

• So that –

=> m² + n² - 2mn = 49

=> m² + n² - 2(5) = 49 [ ∵ mn = 5 ]

=> m² + n² - 10 = 49

=> m² + n² = 49 + 10

=> m² + n² = 59

• Hence , The value of m² + n² = 59.