Question

(c) Find the value of 'p', If the following quadratic equation has equal roots :
4x - (p-2)x + 1 = 0​

Answer 1

Step-by-step explanation:

roots are equal

means, b²-4ac = 0.

now, [-(p-2)]² - 4.4.1 = 0

or, (p-2)² - 16 = 0

or, (p-2)² = 16

or, (p-2)² = (±4)²

or, (p-2) = 4 nor, (p-2) = -4

or, p = 4+2 nor, p = -4+2

or, p = 6 nor, p = -2

so, the value of p = 6 or (-2)

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Answer 2

Answer:

6 or -2 is the right answer