Q. 4 B4.6( 7 Votes )

Represent the following situations in the form of the quadratic equation.

One year ago, a man was eight times as old as his son. Now, his age is equal to the square of his son's age.

Answer :

Let ‘y’ and ‘x’ be the present age of the man and son.

One year ago the man was eight times as old as his son.


y – 1 = 8 (x − 1)


Now, his age is equal to the square of his son's age.


y = x2


x2 − 1 = 8 (x − 1)


x2 − 8x + 7 = 0


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