Diketahui m+n=23 dan m×n=112. Nilai dari m²+n²=

m + n = 23
m = 23 - n

mn = 112
(23 - n)n = 112
23n - n^2 = 112
n^2 - 23n + 112 = 0
(n - 7)(n - 16) = 0
n = 7 atau n = 16

m = 23 - n
m = 23 - 7
m = 16
atau
m = 23 - n
m = 23 - 16
m = 7


m² + n² = 16² + 7² = 305