Question

if A and B are the zeros of the given quadratic polynomial F(x)=5x^2 - 7 x + 10 find the value of 1/a + 1/b​

Answer 1

⭐Solution⭐

✏ if A and B are zeros of polynomials

F(X) = 5x² -7x +10.....(1)

So,

sum of zeros = -(coffi. of x)/(coffi. of x²)

A+B = -(-7)/5

=> A+B = 7/5...........(1)

Again,

Product of zeros = (constant part )/(coffi. of x²)

AB = 10/5

=>AB = 2.........(2)

So,find here

1/A + 1/B

= (A+B)/AB

keep valiu by (1) and (2)

= (7/5)/(2)

= 7/(5×2)

= 7/10

= 0.7

✏Hopes its help's u.

Answer 2

7/10is the answer........