Question

What should be added to (9x^2 - 30x) to make it a perfect square ? ​

Answer 1

Answer:

5 must be added to 9x² - 30x to make it a perfect square.

Step-by-step explanation:

Let 'm' be added to 9x² - 30x to make it a perfect square.

=> 9x² - 30x + m

This is now a perfect square with a negative middle term.

therefore it can be written as ( a - b )²

=> 9x² - 30x + m = ( a - b )²

=> (3x)² - 2* 3x* 5 + m = a² - 2ab + b²

Comparing Left Hand Side and the Right Hand Side of the equation, we get a= 3x and b= 5

It is clearly visible that m = b²

=> m = 5² = 25

Therefore, 5 must be added to 9x² - 30x to make it a perfect square.

Answer 2

Answer:

25

Step-by-step explanation:

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