Question

For what value of k,
$(4 - k) {x}^{2} + (2k + 4)x + 8k + 1 = 0$
is a perfect square.
Please show the steps of solution.​

Answer 1

Step-by-step explanation:

• The given quadratic will be a perfect square if it has two real and equal roots. To have two real and equal roots the discriminant must be zero. ∴, k=0,3