# Quadratic Equations

#### Question 2:

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

(I) 2*x*^{2
}+ *kx *+ 3 = 0

(II) *kx*
(*x* − 2) + 6 = 0

#### Answer:

We know
that if an equation *ax*^{2 }+ *bx *+ *c* = 0
has two equal roots, its discriminant

(*b*^{2 }−
4*ac*) will be 0.

(I) 2*x*^{2 }+ *kx *+ 3 = 0

Comparing equation with *ax*^{2 }+ *bx *+ c = 0, we
obtain

*a* = 2, *b* = *k*, *c* = 3

Discriminant = *b*^{2 }− 4*ac *= (*k*)^{2}−
4(2) (3)

= *k*^{2 }− 24

Forâ€¦

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