for what least integral k is the quadratic trinomial (k-2)x^2+8x+k+4 positive for all values of x?

Question

Vikas TU · Answer

Dear Student,

discriminant less than 0 and (k-2) greater than 0

D less than 0 => k less than -2 or k gretaer than 4

And k-2 greater than 0 implies k greater than 2

Least integer value of k=2 .

Cheers!!

Regards,

Vikas (B. Tech. 4^th year
Thapar University)

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for what least integral k is the quadratic trinomial (k-2)x^2+8x+k+4 positive for all values of x?

for what least integral k is the quadratic trinomial (k-2)x^2+8x+k+4 positive for all values of x?

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for what least integral k is the quadratic trinomial (k-2)x^2+8x+k+4 positive for all values of x?

for what least integral k is the quadratic trinomial (k-2)x^2+8x+k+4 positive for all values of x?

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