Find the value of a2-2 a-2 a-5 if -a- can have values 6-16 -

The correct options are B 9 D 14 The algebraic fraction : (a^2 + 2a)/2a + 5 ⇒ a× (a + 2)/2a + 5 On canceling the common factor 'a', ⇒ (a + 2)/2 + 5 ⇒ if a = ...

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Standard VIII

Mathematics

Factorisation by Regrouping Terms

Find the valu...

Question

Find the value of $\frac{(a^{2} + 2 a)}{2 a} + 5$ if 'a' can have values 6, 16.

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Solution

The correct options are
B
9

D
14

The algebraic fraction : $\frac{(a^{2} + 2 a)}{2 a} + 5$

$\Rightarrow \frac{a \times (a + 2)}{2 a} + 5$

On canceling the common factor 'a',

$\Rightarrow \frac{(a + 2)}{2} + 5$

$\Rightarrow i f a = 6 : \frac{(6 + 2)}{2} + 5 = 9$

Also, $i f a = 16 : \frac{(16 + 2)}{2} + 5 = 14$

So, answers are 9 and 14.

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Find the value of (a2 + 2a)2a + 5 if 'a' can have values 6, 16.

The correct options are B 9 D 14 The algebraic fraction : (a2 + 2a)2a + 5 ⇒ a×(a + 2)2a + 5 On canceling the common factor 'a', ⇒ (a + 2)2 + 5 ⇒if a = 6: (6 + 2)2 + 5 = 9 Also, if a = 16: (16 + 2)2 + 5 = 14 So, answers are 9 and 14.

Find the value of $\frac{(a^{2} + 2 a)}{2 a} + 5$ if 'a' can have values 6, 16.