Question

2.
The roots of the equation nx² + 3x + 6 = 0 will be reciprocal to each other if the value of n is?

Answer 1

Answer:

this question is is 4....

Answer 2

Answer:

Step-by-step explanation:

We know that in an equation ax² + bx + c = 0,

          Product of roots of equation = $\frac{c}{a}$

So,

  Product of roots of nx² + 3x + 6 = $\frac{6}n$ -----------------------> ①

But, we know that as the roots are reciprocal to each other,

  Product of roots = 1 ---------------------------------------------> ②

So,

          $\frac{6}n=1$ ⇒ 6 = n ⇒ n = 6

∴ n = 6

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