The value/s of 'k' for which the quadratic equation 2x 2 - kx + k = 0 has equal roots is (are) : 1. 0 only 2. 4, 0 3. 8 only 4. 0, 8

Given, Equation : 2x 2 - kx + k = 0 a = 2, b = -k and c = k. For equal roots, ⇒ Discriminant (D) = 0 ⇒ b 2 - 4ac = 0 ⇒ (-k) 2 - 4 × 2 × k = 0 ⇒ k 2 - 8k = 0 ⇒ k(k - 8) = 0 ⇒ k = 0 or k - 8 = 0 ⇒ k = 0 or k = 8. Hence, Option 4 is the correct option.

Mathematics

The value/s of 'k' for which the quadratic equation 2x² - kx + k = 0 has equal roots is (are) :
0 only
4, 0
8 only
0, 8

Quadratic Equations

20 Likes

Answer

Given,

Equation : 2x² - kx + k = 0

a = 2, b = -k and c = k.

For equal roots,

⇒ Discriminant (D) = 0

⇒ b² - 4ac = 0

⇒ (-k)² - 4 × 2 × k = 0

⇒ k² - 8k = 0

⇒ k(k - 8) = 0

⇒ k = 0 or k - 8 = 0

⇒ k = 0 or k = 8.

Hence, Option 4 is the correct option.

Answered By

12 Likes

Mathematics

The value/s of 'k' for which the quadratic equation 2x² - kx + k = 0 has equal roots is (are) :
0 only
4, 0
8 only
0, 8

Quadratic Equations

Answer

Related Questions

If -3 ≤ -4x + 5 and x ∈ W, then the solution set is :
{…….-3, -2, -1, 0, 1, 2, 3, …….}
{1, 2}
{0, 1, 2}
{2, 3, 4, 5}

If -4x > 8y; then
x > 2y
x > -2y
x < -2y
x < 2y

In solving a quadratic equation, one of the values of the variables x is 233.356. The solution rounded to two significant figures is :
233.36
233.35
233.3
230

Mathematics

The value/s of 'k' for which the quadratic equation 2x2 - kx + k = 0 has equal roots is (are) :0 only4, 08 only0, 8

Quadratic Equations

Answer

Related Questions

If -3 ≤ -4x + 5 and x ∈ W, then the solution set is :{…….-3, -2, -1, 0, 1, 2, 3, …….}{1, 2}{0, 1, 2}{2, 3, 4, 5}

If -4x > 8y; thenx > 2yx > -2yx < -2yx < 2y

In solving a quadratic equation, one of the values of the variables x is 233.356. The solution rounded to two significant figures is :233.36233.35233.3230

The value/s of 'k' for which the quadratic equation 2x² - kx + k = 0 has equal roots is (are) :
0 only
4, 0
8 only
0, 8

If -3 ≤ -4x + 5 and x ∈ W, then the solution set is :
{…….-3, -2, -1, 0, 1, 2, 3, …….}
{1, 2}
{0, 1, 2}
{2, 3, 4, 5}

If -4x > 8y; then
x > 2y
x > -2y
x < -2y
x < 2y

In solving a quadratic equation, one of the values of the variables x is 233.356. The solution rounded to two significant figures is :
233.36
233.35
233.3
230