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# If 12 a root of the equation x2+kx-54 = 0, then the value of k is ______. - Mathematics

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MCQ
Fill in the Blanks

If 1/2 a root of the equation x^2 + kx - 5/4 = 0, then the value of k is ______.

#### Options

• 2

• – 2

• 1/4

• 1/2

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#### Solution

If 1/2 a root of the equation x^2 + kx - 5/4 = 0, then the value of k is 2.

Explanation:

If 1/2 is a root of the equation

x2 + kx – 5/4 = 0 then

Substituting the value of 1/2 in place of x should give us the value of k.

Given, x2 + kx – 5/4 = 0 where, x = ½

(1/2)^2 + k(1/2) - (5/4) = 0

(k/2) = (5/4) – 1/4

k = 2

Concept: Nature of Roots
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#### APPEARS IN

NCERT Mathematics Exemplar Class 10
Chapter 4 Quadatric Euation
Exercise 4.1 | Q 4 | Page 37

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