what must be added to 9x^2+24x to make it a perfect square
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Answered by
2
Answer:
You can solve this problem by simply writing this expression in the form
(ax+b)2+c
where a,b,c are real constants.
So,
We have 9x2−24x+10
= (3x)2−2(3x)(4)+10
{because 2 (3x)(4)=24x}
= (3x)2−2(3x)(4)+(4)2−(4)2+10 {because adding and subtracting the same quantity doesn't make any difference }
Looking carefully, we can see that it is just an expansion of (3x−4)2−6
So we clearly see that if we add 6 to it then it becomes (3x−4)2 which is a perfect square!
I hope you got this answer !!
Answered by
0
Answer:
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