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If one root of the equation 5x^2 + 13x + k = 0 is reciprocal of the other

If one root of the equation 5x^2 + 13x + k = 0 is reciprocal of the other, find the value of k?

We know that in a quadratic equation ax^2 + bx + c = 0

Product of roots = c/a

Here we have the equation 5x^2 + 13x + k = 0

Product of roots = k/5

Given that the roots are reciprocals of each other. So if one root is p, the other would be 1/p. So, their product will always be 1.

=> 1 = k/5

=> k = 5.

Hence, the value of k is 5.


18th April 2019

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The heat required to raise the temperature of 1 mole substance by 1°C is called

The heat required to raise the temperature of 1 mole substance by 1°C is called

  1. Thermal capacity
  2. Molar heat capacity
  3. Specific heat
  4. None of these

Answer

Molar heat capacity is the heat that is required to raise the temperature of a body by 1°C.

The correct option is B.

 

13th April 2019

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