Contact Style About


If Alpha , ß be to root of the equation
ax² + bx + c = 0 and their ratio is 3:1
then proved that 12b² = 49ac​

By Josephine

If Alpha , ß be to root of the equation
ax² + bx + c = 0 and their ratio is 3:1
then proved that 12b² = 49ac​

About the author
Josephine

5 men or 15 children can do a work in 30 days. How long would 5 men and 6 women can do
that work, if a woman is same as 2 chi

7.
Write all the integers between the given pairs (write them in the increasing order.
)
(b) – 4 and 4
(c) – 8

1 thought on “<br />If Alpha , ß be to root of the equation<br />ax² + bx + c = 0 and their ratio is 3:1<br />then proved that 12b² = 49ac​”

  1. Step-by-step explanation:

    ax² + bx + c = 0

    Sum of roots, s = -b/a

    Product of roots, p = c/a

    Given,

    α = 3k

    β = k

    Sum of roots, s = α+β = 4k

    Product of roots, p = αβ = 3k²

    So,

    -b/a = 4k ——-(1)

    c/a = 3k²

    k² = c/3a ——-(2)

    Squaring (1),

    b²/a² = 16k²

    k² = b²/16a²

    c/3a = b²/16a²

    b² = 16ac

    Reply

Leave a Comment