Solve the equation (x+10)^(2)=(5-x)^(2)

atarentspe 2022-09-12 Answered
Solve the equation ( x + 10 ) 2 = ( 5 x ) 2
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Answers (2)

coccusk7
Answered 2022-09-13 Author has 14 answers
( х + 10 ) 2 = ( 5 х ) 2
x 2 + 20 x + 100 = 25 10 x + x 2
x 2 x 2 + 20 x + 10 x = 25 100
30x= -75
x= -75/30
x= -2,5

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Andrejkoxg
Answered 2022-09-14 Author has 20 answers
( x + 10 ) 2 = ( 5 x ) 2
let's square
formula:
( a + b ) 2 = a 2 + 2 a b + b 2
or
( a b ) 2 = a 2 2 a b + b 2
x 2 + 20 x + 100 = 25 10 x + x 2
Let's move everything to one side. remember that when transferring, the sign changes to the opposite.
X is reduced and we get:
30x+75=0
x = 75 30 = 2 , 5

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