or what values of k, the equation 25x2 – kx + 9 = 0 has equal roots?
Answers
Given ⤵️
Quadratic equation= 25x² - kx + 9 = 0
Here a = 25, b = -k , c = 9....
For a quadratic equation to have equal roots.... value of b² -4ac must be equal to 0....
So putting all values.....
(-k)² -4(25)(9) = 0
(-k)² -900 = 0
k² = 900
k = +√900 or k = -√900 ( its important to remember)
So k = 30 or -30
So 25x² - kx +9 = 0 will have equal roots when k = 30 or -30...
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Answer:
k=30 or k=-30 , is the answer ,hope it is help full