Question

If α and β are the zeroes of the polynomial x² – 1, then the value of (α + β) is ______.

पर्याय

• 2

• 1

• –1

• 0

Answer 1

If α and β are the zeroes of the polynomial x² – 1, then the value of (α + β) is 0.

Explanation:

Sum of zeroes of the quadratic equation

ax² + bx + c = 0 is ${\displaystyle \frac{-b}{a}}$

∴ Sum of zeroes of x² – 1 = x² + 0x – 1 = 0 is ${\displaystyle \frac{-0}{1}}$ = 0

∴ α + β = 0