The value of k is quadratic equation X square - 3 x + 9 is equals to equal roots k=
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Answer:Given, Quadratic Equation is kx(x - 3) + 9 = 0.
⇒ kx² - 3kx + 9 = 0
On comparing with ax² + bx + c = 0, we get a = k, b = -3k, c = 9.
Given that the equation has real equal and real roots.
∴ D = 0
b² - 4ac = 0
⇒ (-3k)² - 4(k)(9) = 0
⇒ 9k² - 36k = 0
⇒ 9k² = 36k
⇒ 9k = 36
⇒ k = 36/9
⇒ k = 4
Hope it helps!
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