Math, asked by niranjannova2006, 4 months ago

find K for which sum and the product of roots of a quadratic equation kX square - 4 x + 4 K=0 are equal​

Answers

Answered by sarbottam2108
0

Let the quadratic equation be,

ax² + bx + c = 0

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

let the zeroes be m and n

sum of zeroes = -b/a

m + n = 4/k

product of zeroes = c/a

x × y= 4k/k

According to question

sum of zeroes = product of zeroes

So,

m + n = m × n

or 4/ k = 4k/ k

or 4/ k = 4/ 1

or 1/ k = 4/ 4

or 1/ k = 1/ 1

or k = 1

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