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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

x^{2} + kx – `5/4` = 0 then

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

Given, x^{2} + 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 of a Quadratic Equation

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