a) Find the values of ‘’ such that quadratic equation ( + 9) 2 + ( + 1) + 1 = 0 has no real roots?
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Answer:
k>6 or k<−6
Step-by-step explanation:
⇒ The given quadratic equation is x2−kx+9=0, comparing it with ax2+bx+c=0
∴ We get, a=1b=−k,c=9
⇒ It is given that roots are real and distinct.
∴ b2−4ac>0
⇒ (−k)2−4(1)(9)>0
⇒ k2−36>0
⇒ k2>36
⇒ k>6 or k<−6
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