Question

Q1.Find the value of k, for which one root of the quadratic equation kx2 - 14x + 8 = 0 is 2​

Answer 1

Step-by-step explanation:

Given:-

one root of the quadratic equation

kx^2 - 14x + 8 = 0 is 2

To find:-

Find the value of k, for which one root of the quadratic equation kx^2 - 14x + 8 = 0 is 2

Solution:-

Given quadratic equation is kx^2 - 14x + 8 = 0

Given one of its toots = 2

We know that

If a number is a solution or root of the given equation then it satisfies (LHS=RHS) the given equation.

On putting x = 2 then

=>k(2)^2-14(2)+8 = 0

=>k(4)-28+8 = 0

=>4k-20 = 0

=>4k = 20

=>k = 20/4

=>k = 5

Therefore,k = 5

Answer:-

The value of k for the given problem is 5

Used Concept:-

• If a number is a solution or root of the given equation then it satisfies (LHS=RHS) the given equation.