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square root of (x-9) + square root of (x) = 1

and

2 (square root of (x-3)) + square root of (3x-5) = 8

2006-09-24 16:00:28 · 8 answers · asked by Need Help 2 in Science & Mathematics Mathematics

8 answers

Hey, a fellow 'need help'er!! :)

square both sides...
x-9+2sqrt(x^2-9x)+x=1
2x-10=2sqrt(x^2-9x)
x-5=sqrt(x^2-9x)

square both sides again
x^2-10x+25=x^2-9x
x=25

Do the exact same thing for the second equation. You will get x = 7

2006-09-24 16:03:12 · answer #1 · answered by need help! 3 · 0 1

Presuming that what you're supposed to do is solve for x AND that complex numbers are not allowed, there is no solution for the first equation: if x is less than 9, you get a complex number. If x is 9 or more, the value on the left side is 3 or greater, so there is no solution.

For the second, x=7 is the only solution.

2006-09-24 23:09:53 · answer #2 · answered by spongeworthy_us 6 · 0 0

Question #1:
square root of (x-9) + square root of (x) = 1
YOU NEED TO SQUARE ALL FIELDS ON BOTH SIDES, TO PRODUCE THIS:

(x-9) + x = 1
2x - 9 = 1
2x = 10
x = 5

If you do the same operation to Question 2, i.e. squaring all fields on both sides, you'll get this:
4(x-3) + (3x-5) = 64
4x - 12 + 3x - 5 = 64
7x -17 = 64
7x = 81
x = 81/7

2006-09-24 23:12:22 · answer #3 · answered by Anonymous · 0 2

First one:

Get one sq. root by itself:

sqrt(x-9) = 1 - sqrtx

Square both sides:

x-9 = (1 - sqrt(x))(1 - sqrt(x))

x-9 = 1 - 2sqrt(x) + x

Subtract x and 1 from both sides:

-10 = -2sqrt(x)

5= sqrt x

Square both sides:
25 = x

BUT: when you check this answer, it doesn't work, so there is NO SOLUTION. Always check your answer when you square both sides of an equation, because sometimes you will get extraneous roots.

2006-09-24 23:05:41 · answer #4 · answered by jenh42002 7 · 0 0

Put the question in your subject line. I need help isn't a question.

2006-09-24 23:03:54 · answer #5 · answered by steven 3 · 0 0

So what's your question?

2006-09-24 23:02:36 · answer #6 · answered by sothanaphan 2 · 0 0

i need help too

2006-09-24 23:07:27 · answer #7 · answered by jojo 2 · 0 0

so????????? whatz the question?

2006-09-25 08:15:23 · answer #8 · answered by sweetfloss8 2 · 0 0

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