Question

please answer this question fast​

Answer 1

⇝Given :

Find value of equation :

F(x) = x²- 2x + 2

If value of x :

(i) X = 1

(ii) X = 0

(iii) X = 2

(iv) X = -2

(v) X = -3

(vi) X = 3

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⇝Solution :

F(1) = x²- 2x + 2

${\dashrightarrow{\bf{\red{(i)X = 1}}}}$

${\leadsto{\sf{P(1) = (1)²- 2(1) + 2}}}$

${\leadsto{\sf{P(1) = 1 - 2 + 2}}}$

${\leadsto{\sf{P(1) = ( - 1 )+ 2}}}$

${\large{\green{:{\mapsto{\underline{\boxed{\bf{P(1) = -3}}}}}}}}$

${\dashrightarrow{\bf{\red{(ii)X = 0}}}}$

${\leadsto{\sf{P(0) = (0)²- 2(0) + 2}}}$

${\leadsto{\sf{P(0) = 0 - 0 + 2}}}$

${\large{\green{:{\mapsto{\underline{\boxed{\bf{P(0) = 2}}}}}}}}$

${\dashrightarrow{\bf{\red{(iii)X = 2}}}}$

${\leadsto{\sf{P(2) = (2)²- 2(2) + 2}}}$

${\leadsto{\sf{P(2) = 4 - 4 + 2}}}$

${\large{\green{:{\mapsto{\underline{\boxed{\bf{P(2) = 2}}}}}}}}$

${\dashrightarrow{\bf{\red{(iv)X = - 2}}}}$

${\leadsto{\sf{P( - 2) = ( - 2)²- 2( - 2) + 2}}}$

${\leadsto{\sf{P(2) = ( - 4 )-( - 4) + 2}}}$

${\large{\green{:{\mapsto{\underline{\boxed{\bf{P( - 2) = 2}}}}}}}}$

${\dashrightarrow{\bf{\red{(v)X = - 3}}}}$

${\leadsto{\sf{P( - 3) = ( - 3)²- 2( - 3) + 2}}}$

${\leadsto{\sf{P( - 3) = ( - 9 )-( - 4) + 2}}}$

${\leadsto{\sf{P( - 3) = ( 5)+ 2}}}$

${\large{\green{:{\mapsto{\underline{\boxed{\bf{P( - 3) = 7}}}}}}}}$

${\dashrightarrow{\bf{\red{(vi)X = 3}}}}$

${\leadsto{\sf{P( 3) = ( 3)²- 2( 3) + 2}}}$

${\leadsto{\sf{P( 3) = 9 -6 + 2}}}$

${\leadsto{\sf{P( 3) = 3 + 2}}}$

${\large{\green{:{\mapsto{\underline{\boxed{\bf{P(3) = 5}}}}}}}}$

So,

✰Value of X = 1 = -3

✰Value of X = 0 = 2

✰Value of X = 2 = 2

✰Value of X = -2 = 2

✰Value of X = -3 = 7

✰Value of X = 3 = 5

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