Question

Q.29 If the zeroes of the polynomial x - 3x² + x +1 are a-b,
a+b find a and b.​

Answer 1

Answer:

Enclosed rhyme (or enclosing rhyme) is the rhyme scheme ABBA (that is, where the first and fourth lines, and the second and third lines rhyme). Enclosed-rhyme quatrains are used in introverted quatrains, as in the first two stanzas of Petrarchan sonnets.

Answer 2

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Answer:

$→ a = 1  and b = ±√2 .$

Step-by-step explanation:

Given polynomial is f(x) = x³ - 3x² + x + 1 .

Here  a = 1 , b = -3 , c = 1 , d = 1 .

Let α = ( a - b ) , β = a and γ = ( a + b ) .

As we know,

$→ α + β + γ = -b/a .$

$⇒ ( a - b ) + a + ( a - b ) = -(-3)/1$

$⇒ 3a = 3$

$⇒ a = 3/3$

$∴ a = 1$

And,

→ αβ + βγ + γα = c/a .

⇒ a( a - b ) + a( a + b ) + ( a + b )( a - b ) = 1/1 .

$⇒ a² - ab + a² + ab + a² - b² = 1$

$⇒ 3a² - b² = 1$

$⇒ ( 3 × 1² ) - b² = 1 .       \\ \\ \\ \\ \\   { ∵ a = 1 }$

$⇒ 3 - b² = 1$

$⇒ b² = 3 - 1$

$⇒ b² = 2$

$∴ b = ±√2$

$Hence \: \: , \: \: it \: \: is \: \: \: \: solved$

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