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(x+4)^2-(x-5)^2=9 Plz solve this for me
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1 vote
(x+4)^2-(x-5)^2=9
Plz solve this for me

User Md Johirul Islam
by
4.7k points

2 Answers

4 votes
(a+b)^2 = a^2 + 2ab + b^2
(a-b)^2 = a^2 - 2ab + b^2

(x+4)^2 - (x-5)^2 = 9
x^2 + 8x + 16 - (x^2 - 10x + 25) = 9
x^2 +8x + 16 - x^2 + 10x - 25 = 9
(the squared terms cancel out)

8x + 16 + 10x - 25 = 9
18x = 9 - 16 + 25
18x = 9 + 9
18x = 18
x = 1
User TheBook
by
5.3k points
3 votes

X = 1


Simple answer. Hope this helps.

User Mola
by
5.5k points
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