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Quadratic Equations

Question 2:

Find the values of k for each of the following quadratic equations, so that they have two equal roots.

(I) 2x2 + kx + 3 = 0

(II) kx (x − 2) + 6 = 0

Answer:

We know that if an equation ax2 + bx + c = 0 has two equal roots, its discriminant
(b2 − 4ac) will be 0.

(I) 2x2 + kx + 3 = 0

Comparing equation with ax2 + bx + c = 0, we obtain

a = 2, b = k, c = 3

Discriminant = b2 − 4ac = (k)2− 4(2) (3)

= k2 − 24

For…

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