Question

If α and β are the roots of x2 -5x + 7 =0 then calculate α 2 + β2

Answer 1

Answer:

Step-by-step explanation:

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Answer 2

Answer:

alpha is a and beta is b.

Here,

Sum of roots = -ve coefficient of x = 5

Product of roots = constant terms = 7

So,

a + b = 5 ; ab = 7

= a² + b²

= ( a + b )² - 2ab

= ( 5 )² - 2(7)

= 25 - 14

= 11

a² + b² = 11