Question

Find the value of K for which following equation

has real and equal roots 4x²Kx+9​

Answer 1

Answer :-

If the equation has real and equal roots, then it's discriminant (D) = 0

For the given equation -

• a = 4
• b = k
• c = 9

➩ $\sf D = b^2-4ac = 0$

➩ $\sf k^2 - 4 \times 4 \times k \times 9 = 0$

➩ $\sf k^2 - 144k = 0$

➩ $\sf k^2 = 144k$

➩ $\sf k = 144$

Value of K = 144

Answer 2

Answer :-

For real and equal roots, D= 0