The quadratic equation 2x^2+ky+3=0,have equal roots then the value of k is...
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Answer:
a) √24
Step-by-step explanation:
2x² + kx + 3 = 0
if it has equal roots, then the determinant = 0
determinant of a quadratic equation = √(b² - 4ac) = 0
a = 2 , b = k , c = 3
√(b² - 4ac) = 0
√(k² - 4 × 2 × 3) = 0
√(k² - 24) = 0 {square both sides}
k² - 24 = 0
k² = 24
k = √24
⇒ a) √24
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