Question

m plus n =5, mn= 10,find m square plus n square​

Answer 1

Answer:

$m^{2} + n^{2} = 5$

Step-by-step explanation:

$m + n = 5$

$mn = 10$

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

$(m + n)^2 = m^2 + n^2 + 2mn$                $(from$  $(a + b)^2$  $formula$$)$

$(5)^2$ = $($$m^{2} + n^{2}$$)$ + $2(10)$

$m^{2} + n^{2} = 25 - 20$

$m^{2} + n^{2} = 5$

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Answer 2

Answer:

$m^2 + n^2 = 5$

Step-by-step explanation:

m + n = 5

mn = 10

$m^2 + n^2 = ?$

$(m + n)^2 = m^2 + n^2 + 2mn$

$(5)^2 = m^2 + n^2 + 2(10)$

$m^2 + n^2 = 25 - 20$

$m^2 + n^2 = 5$