Answer:
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