Question

Middle Term Slipting Method solution...​

Answer 1

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⇒ 4√3n² + 5n - 2√3

⇒ 4√3n² + 8n - 3n - 2√3

⇒ 4n ( √3n + 2 ) - √3 ( √3n + 2 )

⇒ ( 4n - √3 ) ( √3n + 2 )

Answer 2

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4√3 × 2√3 = 24

Factors of 24 = (1×24) (2×12) (3×8) (4×6)

We will have to check whether there is a minus or plus sign before first and third term.

If there is then we will have to subtract the factor otherwise we will have to add .

Now , we will have to see that which of these pairs subtract to give 5 which is the middle term .

(3×8) = 24 and (8-3) = 5

therefore (3×8) satisfies the condition .

4√3n² + 5n - 2√3 = 0

=> 4√3n² + 8n - 3n - 2√3 = 0

=> 4n (√3n + 2) - √3 (√3n + 2) = 0

=> (4n-√3) (√3n + 2) = 0

=> 4n-√3=0 or √3n + 2=0

=> n =$\frac{√3}{4}\:$ or n =$\frac{2}{√3}$

n = $\frac{√3}{4}\:$ , $\frac{2}{√3}$

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