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

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

Step-by-step 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