Question

If kx² - 24x + 36 is a perfect square, then the value of k is​

Answer 1

Answer:

k=9

Step-by-step explanation:

onsider the following factoring of a quadratic equation:

0=x2+2x+1

0=(x+1)(x+1)

x=−1

This equation has only one solution.

The discriminant (b2−4ac) tells us how many solutions/the type of solutions that a quadratic equation has. For your problem, we'll consider y=0

As shown in the example above, in a perfect square trinomial there will only be one solution. This can be obtained by setting the discriminant to 0, and solving for a (k in our case), the term we don't know.

(−24)2−(4×k×16)=0

576−64k=0

−64k=−576

k=9

Therefore, k=9