# Find the Values Of K For Which the Roots Are Real and Equal in Each of the Following Equation: 4x2 - 3kx + 1 = 0 - Mathematics

Find the values of k for which the roots are real and equal in each of the following equation:

4x2 - 3kx + 1 = 0

#### Solution

The given quadric equation is 4x2 - 3kx + 1 = 0, and roots are real and equal

Then find the value of k.

Here, a = 4, b = -3k and c = 1

As we know that D = b2 - 4ac

Putting the value of a = 4, b = -3k and c = 1

= (-3k)2 - 4 x (4) x (1)

= 9k2 - 16

The given equation will have real and equal roots, if D = 0

Thus,

9k2 - 16 = 0

9k2 = 16

k2 = 16/9

k=sqrt(16/9)

k=+-4/3

Therefore, the value of k=+-4/3 .

Concept: Nature of Roots
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#### APPEARS IN

RD Sharma Class 10 Maths