Question

What must be added to 9x^2-24x+10 to make it a whole square

Answer 1

To make given quadratic equation a whole number , we have to add 6 in the equation.. (3 x - 4 )²

Explanation:

The given quadratic equation is

9 x² - 24 x + 10 = 0

(3 x )² - 24 x + 10 = 0

(3 x )² - ( 2 × 3 x × 4 ) + 10 = 0

Now if we add 6 to the equation , it will become whole square as (a + b)²

I.e (3 x )² - ( 2 × 3 x × 4 ) + 10 + 6 = 0

Or, (3 x )² - ( 2 × 3 x × 4 )+ 16 = 0

Or, 9 x² - 24 x + 16 = 0

Or, (3 x - 4 )² = 0

Hence to make given quadratic equation a whole number , we have to add 6 in the equation.. Answer