Solve. (3x+10)^(1/2)=10-x

Ciara Rose 2022-07-30 Answered
Solve.
( 3 x + 10 ) 1 / 2 = 10 x
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Answers (2)

juicilysv
Answered 2022-07-31 Author has 17 answers
Square both sides to get rid of the square root.
3 x + 10 = ( 10 x ) 2
Foil
3 x + 10 = 100 20 x + x 2
Move everything to one side to have one side equal 0.
0 = x 2 20 3 x + 100 10
0 = x 2 23 x + 90
Factor and solve for x.
0=(x - 18)(x - 5)
x - 18=0 and x- 5=0
x=18 x= 5
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Aphroditeoq
Answered 2022-08-01 Author has 2 answers
3 x + 10 = ( 10 x ) 2
3 x + 10 = ( x + 10 ) 2
3x+10=(-x*-x-x*10+10*-x+10*10)
3 x + 10 = ( x 2 20 x + 100 )
3 x + 10 = x 2 20 x + 100
x 2 20 x + 100 = 3 x + 10
x 2 20 x + 100 3 x = 10
x 2 23 x + 100 = 10
x 2 23 x = 100 + 10
x 2 23 x = 90
x 2 23 x + 90 = 0
(x )(x )=0
(x-5)(x-18)=0
x-5=0
x-18=0
x=5
x=18
ANSWER x=5,18
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