Welcome to Westonci.ca, where you can find answers to all your questions from a community of experienced professionals. Get detailed answers to your questions from a community of experts dedicated to providing accurate information. Connect with a community of professionals ready to provide precise solutions to your questions quickly and accurately.

Given the equation: (1 – 3k) x^2 + 3x – 4 = 0 determine the value of “k” that will give two Real roots.

Sagot :

The value of “k” that will give two real roots is 25/48

Given the equation  (1 – 3k) x^2 + 3x – 4, for the equation to have two real roots, this means that b^2 - 4ac > 0

From the given expression

a = 1 - 3k

b = 3

c = -4

Substitute into the equation b^2 - 4ac = 0

3^2 - 4(1 - 3k)(-4) = 0

9 + 16 (1-3k) = 0

9 + 16 - 48k =0

25 = 48k

k = 25/48

Hence the value of “k” that will give two real roots is 25/48

Learn more here: https://brainly.com/question/564715