Question

find the value of k for which the equation is x²-4x+k=0. has conicident roots
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Answer 1

Given that,

➡ x² - 4x + k = 0

Let,

• a = 1
• b = - 4
• c = k

By using discrimination formula,

$⟹ {b}^{2} - 4ac = 0$

Substitute the values..

$⟹ {( - 4)}^{2} - 4(1)(k) = 0 \\ \\ ⟹16 - 4k = 0 \\ \\ ⟹16 = 0 + 4k \\ \\ ⟹4k = 16 \\ \\ ⟹k = \frac{16}{4} \\ \\ ⟹k = 4$

∴ Hence, the value of k is “ 4 ” .

Step-by-step explanation:

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