math

Question

For what value of k quadratic equation 2x^2+kx+3

Justynaa · Answer

to find the value of k such that the quadratic equation
2x^2 + kx + 3 = 0
has one solution, the discriminant must be zero:
discriminant formula:
d = b² − 4ac
here, a = 2, b = k, c = 3
so:
d = k² − 4·2·3 = k² − 24
set d = 0 for one solution:
k² − 24 = 0
k² = 24
k = ±√24 = ±2√6
answer: k = ±2√6

karthik661 · Answer

a detailed explanation covering all possible outcomes is included.

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