if the quadratic equation x square +kx +9=0 then the value of k is
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Answered by
5
Answer:The given quadratic equation is ;
x² - kx + 9 = 0
Clearly , we have ;
a = 1
b = -k
c = 9
We know that ,
The quadratic equation will have equal roots if its discriminant is equal to zero .
=> D = 0
=> (-k)² - 4•1•9 = 0
=> k² - 36 = 0
=> k² = 36
=> k = √36
=> k = ± 6
Hence,
The required values of k are ± 6 .
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Answered by
2
Step-by-step explanation:
for real and distinct roots
b^2 - 4ac greater than equal to 0
k^2 - 36 greater than equal to 0
k = + 6 or -6
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