Question 449472
What is the child's age if increased by 3 years which make it a perfect square.
 Child's age if decreased by 3 years which then square root of that perfect square
:
Equation for this would be:
{{{sqrt(x+3)}}} = x - 3
Square both sides
x + 3 = (x-3)^2
x + 3 = x^2 - 6x + 9
0 = x^2 - 6x - x + 9 -3
A quadratic equation
x^2 - 7x + 6 = 0
Factors to
(x-6)(x-1)
two solutions, but the only reasonable one is
x = 6 is the child's age
:
:
Check
{{{sqrt(6+3)}}} = 6 - 3