Question

give me this answer. ​

Answer 1

Step-by-step explanation:

2x²-6+k=0

2x²=6-k

2x²/2=6-k/2

x²=6-k/2

x²=-k/2+3

x=√12-2k/2

x=-√12-2k/2

k=≤6

Answer 2

Answer:

• The value of k is 4½.

Solution:

Given:

→ 2x² - 6x + k = 0

The roots of the given equation are real and equal.

Therefore:

→ Discriminant = 0

→ b² - 4ac = 0

Here:

→ a = 2

→ b = -6

→ c = k

→ (-6)² - 4 × 2 × k = 0

→ 36 = 8k

→ k = 9/2

→ k = 4½

★ So, the value of k is 4½.

Learn More:

Discriminant: The discriminant of a quadratic equation tells us about the nature of roots. It is denoted by letter D.

→ ax² + bx + c = 0

→ D = b² - 4ac

1. When D > 0: Roots are real and distinct.

2. When D = 0: Roots are real and equal.

3. When D < 0: Roots are imaginary.