Question

If a and B are the root of the equation 3x^2 - x - 5 = 0, find a + B

Answer 1

a + B =
`(1)/(3)`

Explanation:

the sum of the roots a + B = -
`(b)/(a)`

where a and b are the coefficients in the standard quadratic equation

ax² + bx + c = 0 ( a ≠ 0 )

3x² - x - 5 = 0 ← is in standard form

with a = 3 and b = - 1 , then

a + B = -
`(-1)/(3)` =
`(1)/(3)`