Question

If a and ẞ are the roots of the equation 2x²-3x - 6 = 0. Find the value of
$\frac{1}{ \alpha } \: + \: \frac{1}{ \beta }$
​

Answer 1

Step-by-step explanation:

α and ß are the roots of 2x² - 3x - 6 = 0. Coefficient of x ( b ) = -3. Constant term ( c ) = -6. We know the relationship between zeroes and coefficient of a quadratic polynomial

Answer 2

2x²- 3x - 6 = 0

So,

α + β = 3/2

αβ = 6/2 = 3

NOW,

1/a + 1/ẞ

(a + ẞ)/aẞ

3/2 / 3

3/2 × 1/3

1/2