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.
What is the area of a regular hexagon of side 9 cm
Area of hexagon = 6 * ((√3 〖side〗^2)/4)
= 6 * ((√3 9^2)/4)