Question

If the equation 8x2+3kx+2=0 has equal roots, then what is the value of ‘k’?​

Answer 1

Solution :

Given Equation : 8x² + 3kx + 2 .

here : a = 8 , b = 3k , c = 2 .

By using Quadratic formula :

b² - 4ac = 0

Substituting values , we get

(3k)² - 4(8)(2) = 0

9k² - 4(16) = 0

9k² = 64

${k}^{2} = \frac{64}{9}$

$k \: = ± \sqrt{ \frac{64}{9} }$

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Answer 2

Answer:

+ or - 8/3

Step-by-step explanation:

a = 8

b = 3k

c = 2

b^{2}  - 4ac

9k^2 - (4*8*2)

9k^2 - 64

k^2 = 64/9

k = + or - 8/3

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