Answer: 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. Reply
Answer:
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.
If d= 8, and c= 5, then:
8^2= 64
5^3= 125