Question

5.
If the sum of the roots of a quadratic
equation is double their product. Find k if
the equation is 5xsquare-3kx + k +3=0​

Answer 1

Answer:

alpha and beta are the roots of quadratic equation

alpha

$\alpha + \beta = 2\alpha \beta$

$\alpha + \beta = - b \div a$

$\alpha \beta = c \div a$

given equation is 5x²-3kx+3=0

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

$\alpha + \beta = - 3k \div 5 \\ \alpha \beta = 3 \div - 3k$

-3k/5=2(3/-3k)

-3k/5=6/-3k

9k²=30

k²=30/9

k²=10/3

k=√10/3