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Soluções para a tarefa
Para encontrar as idades dos filhos de Jorge usaremos o delta Δ = b² - 4ac
A equação da questão é x² - 26x + 165 = 0, onde
a = 1
b = -26
c = 165
Substituindo esses dados no delta, temos
Δ = (-26)² - 4.1.165 → Δ = 676 - 660 → Δ = 16
x = (- b + ou - √Δ)/2a → x = (-(-26) + ou - √16)/2 → x = (26 + ou - 4)/2.
x₁ = (26 + 4)/2 = 30/2 = 15
x₂ = (26 - 4)/2 = 22/2 = 11. Logo Paula tem 15 anos e Henrique tem 11 anos
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