Question

if 2 and α are zeroes of x 2 – 3x +2, then the value of α is​

Answer 1

Answer:

1

Step-by-step explanation:

Product of zeroes= constant term/ coefficient of x²

αβ=c/a (∵ general form of quadratic polynomial is ax²+bx+c)

2α=2/1

2α=2 (∵ 2/1=2)

α=2/2

α=1

∴ answer is 1.

Answer 2

SOLUTION

GIVEN

2 and α are zeroes of x² – 3x + 2

TO DETERMINE

The value of α

EVALUATION

Here the given Quadratic polynomial is

x² – 3x + 2

Comparing with the general polynomial

ax² + bx + c we get

a = 1 , b = - 3 , c = 2

Now

Sum of the zeroes = - b/a

⇒ 2 + α = 3/1

⇒ α = 3 - 2

⇒ α = 1

FINAL ANSWER

Hence the required value of α = 1

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