Question

Diketahui m dan n adalah bilangan bulat positif yang memenuhi [tex]\sf{ \frac{1}{m} + \frac{1}{n} = \frac{4}{7} }[/tex]. Nilai [tex]\sf{{m}^{2} + {n}^{2}}[/tex] adalah ....
A. 100
B. 104
C. 142
D. 200
E. 202​

Answer 1

Verified answer

[tex] \frac{1}{m} + \frac{1}{n} = \frac{4}{7} [/tex]

[tex] \frac{1}{m} + \frac{1}{n} = \frac{8}{14} [/tex]

[tex] \frac{1}{m} + \frac{1}{n} = \frac{1}{14} + \frac{7}{14} [/tex]

[tex] \frac{1}{m} + \frac{1}{n} = \frac{1}{14} + \frac{1}{2} [/tex]

↓

[tex] {m}^{2} + {n}^{2} = [/tex]

[tex] {14}^{2} + {2}^{2} = [/tex]

[tex]196 + 4 = [/tex]

[tex]200[/tex]

Opsi D