The equation 3x square -12x+(n-5)=0 has equal roots find the value of n​

n = 17

Step-by-step explanation:

For a quadratic equation to have equal roots b²-4ac should be equal to zero in the quadratic equation ax²+bx+c=0.

Equation : 3x² - 12 x + ( n - 5) = 0

a = 3, b = -12, c = ( n - 5)

b² - 4ac = 0

(-12)² - (4 x 3 x (n - 5)) = 0

144 - 12( n - 5 ) = 0

12( n - 5 ) = 144

n - 5 = 12

n = 17

Check if it's true :

3x² - 12 x + ( 17 - 5) = 0

3x² - 12 x + 12 = 0

3(x² - 4x + 4) = 0

(x² - 4x + 4) = 0

(x - 2)(x - 2) = 0

x = 2 , 2

Equal roots .

a is the correct