If α and β are the zeroes of the polynomial ar + bx + c. Find the va

1.	If α and β are the zeroes of the polynomial ar + bx + c. Find the value of1)(ii) a2 + P
Answer» Given : ax² + bx + cSo,α + β = -b/a αβ = c/a ii)So, ( α + β)² = α² + β² + 2αβ b²/a² - 2c/a = α² + β² i) ( α - β)² = α² + β² - 2αβ ( α - β)² = b²/a² - 2c/a - 2c/a α - β = √(b²/a² - 4c/a)

If α and β are the zeroes of the polynomial ar + bx + c. Find the value of1)(ii) a2 + P

Answer»

Given : ax² + bx + cSo,α + β = -b/a αβ = c/a

ii)So, ( α + β)² = α² + β² + 2αβ

b²/a² - 2c/a = α² + β²

i) ( α - β)² = α² + β² - 2αβ

( α - β)² = b²/a² - 2c/a - 2c/a

α - β = √(b²/a² - 4c/a)