Find k if x=3 is a root of the equation of 3x²+kx+12=0
Answers
Answer:
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Answer:
k = - 13
Step-by-step explanation:
The given equation is 3x² + Kx + 12 = 0
Given, x = 3 is a root of the equation of the equation.
Now,
sub x = 3 in the equation 3x² + Kx + 12 = 0
we get,
=> 3 (3)² + K(3) + 12 = 0
=> 3(9) + 3K + 12 = 0
=> 27 + 3K +12 =0
=> 39 + 3K = 0
=> 3K = -39
=> K = -39/3
=> K = -13
You can cross check if it is correct,
substituting the value of k in the equation we get,
3x² - 13x + 12 = 0
substituting the value of x,
=> 3 (3)² - 13(3) + 12 = 0
=> 3(9) - 39 + 12 = 0
=> 27 - 39 + 12 = 0
which is correct.
Hope this helps( ^∇^)