Question

the product of the root of the quation x²-3x+k=0 is -2 the k is​

Answer 1

Answer:

x²-3x+k=0

(-2)² -3(-2) +k=0

4+6+k=0

10+k=0

k=-10

Answer 2

Answer:

Given quadratic equation

x

2

−3kx+2e

2logk

−1=0

Let α,β be the roots of the eqn

αβ=2e

2logk

−1

⇒7=2e

2logk

−1

⇒2e

2logk

=8

⇒e

2logk

=4

⇒e

logk

2

=4

⇒k

2

=4

⇒k=−2,2

But logarithm is not defined for −2

So, k=2