Question

the sum of a number and it's reciprocal is 65/8 write it in quadratic equation form

Answer 1

Let the number be x

Then, the reciprocal of number is 1/x

ATQ,

x + (1/x) = 65/8

(x²+1)/x = 65/8

By Cross Multiplication,

8(x²+1) = 65x

8x²+8 = 65x

=> 8x²-65x+8
Which is required Quadratic equation form.