Question

One day I asked the son of my close friend his age the child replied in a different way he said one year ago my dad was 8 times as old as me and now his age is equal to square of my age represent this in form of quadratic eq

Answer 1

`x^2 - 8x + 7 = 0`

Explanation:

Let the boy's present age be x.

Let his dad's present name be y.

Last year, his dad was 8 times as old as him. Subtract one year from each their ages and multiply the son's age by 8:

(y - 1) = 8(x - 1) ______ (1)

Now, his dad's age is the square of his age:

y =
`x^2` _________(2)

From (1):

y = 8x - 8 + 1

y = 8x -7

Put this in (2):

`8x - 7 = x^2\\\\=> x^2 - 8x + 7 = 0`

This problem has been represented in the form of a quadratic equation.