Math, asked by zeenu98, 11 months ago

what is the value of k for which the sum and product of the roots of quadratic equation kx square - 4 x + 4k= 0 are equal​

Answers

Answered by PALAK1007
0

Answer:

k= 1

Step-by-step explanation:

it is given in the pictures....

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Answered by harendrachoubay
1

The value of k is equal to 1.

Step-by-step explanation:

The given quadratic equation:

kx^2-4x+4k=0

Here, a = k, b = - 4 and c = 4k

To find, the value of k = ?

The sum of roots = \dfrac{-b}{a}  and

The product of roots = \dfrac{c}{a}

According to question,

The sum of roots = The product of roots

\dfrac{-b}{a} = \dfrac{c}{a}

\dfrac{4}{k}=4

⇒ 4k = 4

⇒ k = 1

Thus, the value of k is equal to 1.

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