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# Find the Values Of K For Which the Roots Are Real and Equal in Each of the Following Equation: 2x2 + Kx + 3 = 0 - CBSE Class 10 - Mathematics

#### Question

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

2x2 + kx + 3 = 0

#### Solution

The given equation is 2x2 + kx + 3 = 0

The given equation is in the form of

ax2 + bx + c = 0

where a = 2, b = k and c = 3

Therefore, the discriminant

D = b2 - 4ac

= k2 - 4 x (2) x (3)

= k2 - 24

∵ Roots of the given equation are real and equal

∴ D = 0

⇒ k2 - 24 = 0

⇒ k2 = 24

rArrk=sqrt24

rArrk=+-sqrt(4xx6)

rArrk=+-2sqrt6

Hence, the value of k=+-2sqrt6

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Solution Find the Values Of K For Which the Roots Are Real and Equal in Each of the Following Equation: 2x2 + Kx + 3 = 0 Concept: Nature of Roots.
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