Question

write the condition for the both roots of f(x) =0 to be greater than a given number k​

Answer 1

Answer:

it should be parallel

Step-by-step explanation:

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Answer 2

Answer:

Here I go for the Answer

Step-by-step explanation:

some problems we want the roots of the equation ax2 + bx + c = 0 to lie in a given interval. For this we impose conditions on a, b, and c. Let f(x) = ax2 + bx + c.

(i) If both the roots are positive i.e. they lie in (0, ¥), then the sum of the roots as well as the product of the roots must be positive.

Þa + b = – > 0 and ab = > 0 with b2 – 4ac > 0.

Similarly, if both the roots are negative i.e. they lie in (–¥, 0) then the sum of the roots will be negative and the product of the roots must be positive.

i.e. a + b = < 0 and ab = > 0 with b2 – 4ac > 0.

(ii) Both the roots are greater than a given number k if the following three conditions are satisfied D > 0, > k and a.f(k) > 0.

(iii) Both the roots will be less than a given number k if the following conditions are satisfied:

=56.98