[square root(x + 7)] -x = 5
=>
[square root(x + 7)] = 5 + x
=> squaring both sides
(x + 7) = (5 + x)^2
=>
(x + 7) = x^2 + 10x + 25
=>
x^2 + 9x + 18 = 0
=>
(x+6)(x+3) = 0
=>
x = -6 or x = -3
2007-02-23 08:17:00
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answer #1
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answered by gjmb1960 7
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So first you move the x over
square root x + 7 = x+5
Then, square each side to get rid of the radical.
x+7 = (x+5)^2--squared
then foil (x+5)(x+5) which is x^2 +10x +25
so the whole equations is:
x+7 = x^2 + 10x+ 25...
then subtract x and 7 fromeach side to ge t
0 = x^2 + 9x + 18
then find x by unfoiling (FOIL is first, outside, inside, last, if you didn't know)
(x + 6) (x + 3) = 0
Then set each paranthesis = 0 so your x values are
x= - 6, - 3
Happy to help
2007-02-23 16:22:09
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answer #2
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answered by K. 3
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sq root(x + 7) - x = 5
sq root(x + 7) = 5 + x
Squaring both sides,
x + 7 = (5 + x)^2
x + 7 = 25 + 10x + x^2
x^2 + 9x + 18 = 0
(x + 3)(x + 6) = 0
x = -3 or -6
2007-02-23 17:12:39
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answer #3
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answered by starr** 1
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Square both sides and turn it into a quadratic equation.
(x + 7) = x^2 + 10x + 25
0 = x^2 + 9x +18
You can solve your quadratic equation using the quadratic equation or by trial and error. In this case, you only have two integer combinations that multiply to 18, so I'd try those first before resorting to the quadratic equation.
2007-02-23 16:18:59
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answer #4
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answered by Bob G 6
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â(x+7)-x=5 add x to each side
â(x+7)=x+5 square both sides
x+7=x^2+10x+25 subtract x+7 drom each side
x^2+9x+18=0
(x+6)(x+3)=0
x+6=0
x=-6
x+3=0
x=-3
x=-3, -6
2007-02-23 17:02:47
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answer #5
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answered by yupchagee 7
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false
2007-02-23 16:15:38
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answer #6
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answered by Doug 4
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yes it is the object is to find what "X" is
2007-02-23 16:17:24
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answer #7
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answered by Anonymous
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What is x = to
2007-02-23 16:16:26
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answer #8
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answered by Kenster102.5 6
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