Question

if a and b are the zerous of the polinomial 4xsqure-3x+7then1/a+1/b
​

Answer 1

Answer:

$\frac{1}{ \alpha } + \frac{1}{ \beta } = \frac{3}{7} .$

Step-by-step explanation:

$4 {x}^{2} - 3x + 7 = 0 \\ \\ \alpha + \beta = \frac{3}{4} \\ \\ \alpha \beta = \frac{7}{4} \\ \\ \frac{1}{ \alpha } + \frac{1}{ \beta } = \frac{ \alpha + \beta }{ \beta } \\ \\ = \frac{ \frac{3}{4} }{ \frac{7}{4} } \\ \\ = \frac{3}{7} .$