Question

In the image please answer the question number 12

Answer 1

Answer:

i m so sorry i cant see it clearly!

Answer 2

Answer:

p = +3√5

Step-by-step explanation:

a and b are the roots of 5x² - px + 1 = 0

sum of roots = - Coefficient of x/coefficient of x²

a + b = -(-p)/5 = p/5 ----(1)

product of roots = constant/Coefficient of x²

ab = 1/5 ----(2)

now, a - b = 1

squaring both sides,

⇒(a - b)² = 1

⇒(a + b)² - 4ab = 1

From equation (1) and (2),

⇒(P/5)² - 4/5 = 1

⇒p²/25 = 1 + 4/5 = 9/5

⇒p² = 45

⇒p = ±3√5

Hence , p = + 3√5