Question

If alpha and beta are the zeroes of polynomial then find the value of alpha square by beta+beta square by alpha​

Answer 1

Answer:

Step-by-step explanation:

Given: α and β are the zeros of the polynomial x² + x - 2.

To find: The value of α² + β².

Answer:

We know that the general form of an equation is ax² + bx + c, where:

The  sum of the zeros is given by -b/a.

The product of the zeros is given by c/a.

From the given equation, we have:

a = 1

b = 1

c = -2

This implies that:

Sum of the zeros: α + β = -b/a = -1/1 = -1

Product of the zeros: αβ = c/a = -2/1 = -2

Now, we've to find the value of α² + β².

We know that α² + β² = (α + β)² - 2αβ.

Therefore, substituting the values, we get:

α² + β² = (-1)² - 2(-2)

α² + β² = 1 + 4

α² + β² = 5

Therefore, the value of α² + β² is 5.

Answer 2

Answer:

5

Step-by-step explanation:

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