Question

26.
one iron 6kg, another
What fraction heavies block is
D
the lighted blocke?
2) tlow much times of righted blocks
is
beanies block ?​

Answer 1

EXPLANATION.

⇒ a² + 1/a² = 18.

To find.

(1) = a - 1/a.

(2) = a³ + 1/a³.

It is in the form of = ( a² + b² ).

⇒ (a² + b² ) = ( a - b )² + 2ab.

⇒ ( a - 1/a )² + 2 X (a) X (1/a) = 18.

⇒ ( a - 1/a )² + 2 = 18.

⇒ ( a - 1/a )² = 16.

⇒ ( a - 1/a ) = √16.

⇒ ( a - 1/a ) = 4.

Value of = ( a - 1/a ) = 4.

Another formula of ( a² + b² ).

⇒ (a² + b² ) = ( a + b)² - 2ab.

⇒ ( a + 1/a)² - 2 X (a) X (1/a) = 18.

⇒ ( a + 1/a)² - 2 = 18.

⇒ (a + 1/a)² = 20.

⇒ (a + 1/a) = √20.

⇒ ( a + 1/a ) = 2√5.

Formula of ( a³ + b³ ).

(a³ + b³ ) = ( a + b) ( a² + b² - ab).

Put the value in equation, we get.

⇒ (2√5) ( a² + 1/a² - (a) X (1/a).

⇒ (2√5 ) ( a² + 1/a² - 1 ).

⇒ ( 2√5 ) ( 18 - 1 ).

⇒ ( 2√5 ) ( 17).

⇒ 34√5.

(1) = Value of ( a - 1/a ) = 4.

(2) = Value of ( a³ + 1/a³ ) = 34√5.

Answer 2

Step-by-step explanation:

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