Aptitude questions

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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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What is the area of a regular hexagon of side 9 cm

What is the area of a regular hexagon of side 9 cm

Solution


Area of hexagon = 6 * ((√3 〖side〗^2)/4)

                            = 6 * ((√3 9^2)/4)

                            = 243*√3/2


17th April 2019

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