Question

12. If a and ß are the roots of a quadratic equation 3x2 - 2x + 5k = 0, such that a.B
is 5, then the value of k is​

Answer 1

Answer:

k = 3

Step-by-step explanation:

Given : f(x) = 3x² - 2x + 5k = 0

α and β are the zeroes of the above polynomial.

αβ = 5 (given)

....(i)

Now,

On comparing the above equation with ax² + bx + c, we get

a = 3, b = - 2, c = 5k

As we know that,

α + β = - b/a

= - (- 2)/3

= 2/3

Also,

αβ = c/a

= 5k/3 ....(ii)

From (i) and (ii), we get

→ 5k/3 = 5

→ k/3 = 1

→ k = 3

• A quadratic polynomial is a polynomial of degree 2.
• A quadratic polynomial is written in the form of ax² + bx + c.