Question

Os numeros reais p e q sao as raizes da equação 15x² - 11x + 2=0. Entao o valor de 1/p + 1/q é:

Answer 1

(1-3x)(2-5x)=0
1-3x=0
2-3x=0
x1= 1/3 e x2= 2/5

Answer 2

 Olá Lucas,

$\frac{1}{p}+\frac{1}{q}=\\\\\frac{1}{p/q}+\frac{1}{q/p}=\\\\\frac{q+p}{pq}=\\\\\frac{\frac{11}{15}}{\frac{2}{15}}=\\\\\frac{11}{15}\div\frac{2}{15}=\\\\\frac{11}{15}\times\frac{15}{2}=\\\\\boxed{\frac{11}{2}}$