Question

Find the value of k for each of the following quadratic equation, so that they have two equal roots.
(i)2x² + Kx + 3 = 0​

Answer 1

Answer:

REFER THE ATTACHMENT.

$<marquee bgcolor =yellow > <font \: color =green >thanks for watching my answer..$

Answer 2

⠀⠀ıllıllı uoᴉʇnloS ıllıllı

$\setlength{\unitlength}{1.0 cm}}\begin{picture}(12,4)\thicklines\put(1,1){\line(1,0){6.5}}\put(1,1.1){\line(1,0){6.5}}\end{picture}$

Given equation:

• 2x² + Kx + 3 = 0

This is of the form ax² + bx + c = 0

Where:

• a = 2
• b = k
• c = 3

As, roots of the given quadratic equation are equal,

Therefore:

b² - 4 ac = 0

➠ (k)² - 4 × 2 × 3 = 0

➠ k² - 24 = 0

➠ k² = 24

➠ k = ± √24

• So, k = ± 2√6

$\setlength{\unitlength}{1.0 cm}}\begin{picture}(12,4)\thicklines\put(1,1){\line(1,0){6.5}}\put(1,1.1){\line(1,0){6.5}}\end{picture}$