Question

si a+b es 12 y a²+b² es 100 hallar ab

Answer 1

${a}^{2} + {b}^{2} = 100$
${a}^{2} + {b}^{2} + 2ab = 100 + 2ab$
${(a + b)}^{2} = 100 + 2ab$
${12}^{2} = 100 + 2ab$
$44 = 2ab$
$ab = 22$