Find the value of 'k' in the quadratic equation 9x^2+kx+1=0when it's roots are equal?
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Answer:
Two values for k work: k = -6 and k = 6.
Step-by-step explanation:
Quadratic ax²+bx+c has equal roots when the discriminant b²-4ac is zero.
So...
9x² + kx + 1 = 0 has equal roots
=> k² - (4)(9)(1) = 0
=> k² = 36
=> k = ±6
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