Question

find the value of k, for which quadratic equation 4x^2 + 4√3x + k = 0 has equal roots​

Answer 1

Solution

Given :-

• Equation, 4x² + 4√3x + k = 0
• These roots are equal .

Find :-

• Value of k

Explanation

Let,

• p & q be the roots of this Equation.

Accosring to question

• p = q

Using Formula

★ Sum of roots = -(Coefficient of x)/(Coefficient of x²)

★ Product of roots = (contact part)/(Coefficient of x²)

So, Now

==> Sum of roots = -4√3/4

==> p + q = -√3

But, we have

• p = q

Then,

==> p + p = -√3

==> 2p = -√3

==> p = -√3/2

Again,

==> Product of roots = k/4

==> p.q = k/4

We have

• p = q

==> p² = k/4

keep value of p

==> (-√3/2)² = k/4

==> 3/4 = k/4

==> k = 3

Hence

• Value of k will be = 3

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