Question

for what values of k. the equation
2x²+3kx+2=0 has equal roots? ​

Answer 1

Answer:

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Step-by-step explanation:

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Answer 2

Answer:

k = 4/3

Step-by-step explanation:

For a quadratic equation to have equal roots, D = b² - 4ac = 0.

=> (3k)² - 4(2)(2) = 0

=> 9k² - 16 = 0

=> 9k² = 16           (Signs change while swicthing sides in an equation)

=> k² = 16/9

∴ k =  √(16/9) => 4/3

Thus, k's value should be 4/3 for 2x² + 3kx + 2 = 0 to have equal roots.