Question

If a and b are the zeros of the polynomial 2x^2-4x+5,then find the value of the a^2+b^2

Answer 1

Solution:

It is given that a and b are the zeros of the polynomial 2x^2-4x+5.

Then,

• Sum of Zeroes = -b/a ☞ 2
• Product of Zeroes = c/a ☞ 5/2

Now, Substitute those value in Equation:

Define Value of a²+b² :

☞ a² + b²

☞ (a+b)² - 2ab

☞ (2)² - 2*5/2

☞ 4 - 10/2

☞ 4 - 5

☞ -1

Therefore, value of a²+b² is -1.

Answer 2

Step-by-step explanation:

2x²-4x+5=0

Sum of zeros=Alpha+ beta

=-(-4/2)

=2

Product of zeros=Alpha×Beta

=5/2

=2.5

To find:-

Alpha²+Beta² =

(Alpha+Beta)²-2Alpha.Beta

=(2)²-2×(5/2)

=4-5

=-1

Hope it will help you

✌️sai