Question

For which values of p does the following equation has equal roots?

2x2

-px+8=0​

Answer 1

Answer:

p = ± 8

Step-by-step explanation:

2x² - px + 8 = 0

For an equation ax² + bx + c to have equal roots, Discriminant must be 0

Discriminant : b² - 4ac = 0 => b² = 4ac

Here,

• a = 2
• b = -p
• c = 8

=> ( -p )² = 4 * 2 * 8

=> p² = 64

=> p = ± 8