1.

The roots of the equation ax2 + bx + c = 0 will be reciprocal if:​

Answer»

Answer:

The roots of the equation ax2 + BX + c = 0 will be RECIPROCAL if a = c. Therefore, a = c or c = a.

Step-by-step explanation:

Let k be one of the root of the GIVEN equation.

According to the problem,

1/k will be the other root of the given equation.

We know that, product of the roots of the equation = c/a.

Therefore, k × 1/k = c/a.

or, 1 = c/a.

or, a = c [multiplying a on both SIDES].

The roots of the equation ax2 + bx + c = 0 will be reciprocal if a = c.

Therefore, a = c or c = a.


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