Question

If the sum of square of anju's age and 6 times of anju's age is 280 find age

Answer 1

Answer:

14 years

Step-by-step explanation:

Let Anju's age be x.

A.T.Q

$x^{2}$+6x=280

$x^{2}$+6x-280=0  

$x^{2}$+ (20-14)x-280=0

$x^{2}$+ 20x- 14x -280=0

x(x+20) -14(x+20)=0

(x-14)(x+20)=0

x=14   or x= -20

Since age cannot be negative,

Anju's age is 14 years.