tion2.Bind the values of k for each of the following quadratic equatio

1.	tion2.Bind the values of k for each of the following quadratic equations, so that they have tworoots.(i)2x2 + kx + 3-0(i) kx (r-2)+60
Answer» i) 2x^2 + Kx + 3 = 0 Where, a = 2b = k c = 3 [ According to ax^2 + bx + c , we just compared equation with this ] We know, that equation has two equal roots, that means, D = 0 We know, D = b^2 - 4ac = 0 Keeping the values in it, (k)^2 - 4 × 2 × 3 = 0 k^2 - 24 = 0 k^2 = 24 k = (±)√24 ii) Kx^2-2kx +6=0 Equal roots implies that D=0 This implies that b^2-4ac=0 (-2k)^2 -24k=0 4k^2-24k=0 4k(k-6)=0 4k=0 This implies that k=0 And k-6=0 This implies that k=6 So,k=0,6 Like my answer if you find it useful!

tion2.Bind the values of k for each of the following quadratic equations, so that they have tworoots.(i)2x2 + kx + 3-0(i) kx (r-2)+60

Answer»

i) 2x^2 + Kx + 3 = 0

Where,

a = 2b = k c = 3

[ According to ax^2 + bx + c , we just compared equation with this ]

We know, that equation has two equal roots, that means,

D = 0

We know,

D = b^2 - 4ac = 0

Keeping the values in it,

(k)^2 - 4 × 2 × 3 = 0

k^2 - 24 = 0

k^2 = 24

k = (±)√24

ii) Kx^2-2kx +6=0

Equal roots implies that D=0

This implies that b^2-4ac=0

(-2k)^2 -24k=0

4k^2-24k=0

4k(k-6)=0

4k=0

This implies that k=0

And k-6=0

This implies that k=6

So,k=0,6

Like my answer if you find it useful!