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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 - Mathematics

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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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APPEARS IN

 RD Sharma Solution for Class 10 Maths (2018 (Latest))
Chapter 4: Quadratic Equations
Ex. 4.6 | Q: 5.1 | Page no. 42
 RD Sharma Solution for Class 10 Maths (2018 (Latest))
Chapter 4: Quadratic Equations
Ex. 4.6 | Q: 5.1 | Page no. 42
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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 Concept: Nature of Roots.
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