Question

if the product of the roots of the equation x2-3x+k=10 is -2 then find the value of k

Answer 1

Answer:

Step-by-step explanation:

Answer 2

Given:

Equation: x2-3x+k=10

Product of roots= -2

To find:

The value of k

Solution:

The required value is 8.

In the given equation, by multiplying the solutions, we get -2.

We are given that in the equation, the coefficient's value of $x^{2}$ is a, of x is b, and the constant term is denoted as c.

Equation: $x^{2}$-3x+k-10=0

So, a=1, b= -3, and c=k-10

On multiplying the equation's roots, we get c/a.

c/a=(k-10)/1

Using the product,

(k-10)/1= -2

k-10= -2

k=10-2

k=8

Therefore, the required value is 8.