Question

7. If a and ß are the zeroes of the polynomial
x2 + 5x + 6, then the value of 1/a + 1/ß is​

Answer 1

Step-by-step explanation:

1/a + 1/b = (a+b)/a*b

For a quadratic equation ax²+bx+c, sum of roots : -b/a, product of roots : c/a

Here, it's given that a and b are roots of the eqn x²+5x+6, thus, a+b = -5/1 = -5 and a*b = 6/1 = 6

Thus, value of given expression = -5/6