SOLUTION: I have all my homework done except for these last couple of questions and was hoping for some help. I really detest algebra. 1. |x|6 2. √20-8x=x Thank in advance.

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: I have all my homework done except for these last couple of questions and was hoping for some help. I really detest algebra. 1. |x|6 2. √20-8x=x Thank in advance.       Log On


   



Question 628587: I have all my homework done except for these last couple of questions and was hoping for some help. I really detest algebra.
1. |x|6
2. √20-8x=x
Thank in advance.
Rob

Found 2 solutions by Alan3354, Logaritmo_94:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
1. |x|6
I don't know what that means.
---------------
2. √20-8x=x
Square both sides.
20+-+x+=+x%5E2
x%5E2+%2B+x+-+20+=+0
(x+5)*(x-4) = 0
etc

Answer by Logaritmo_94(1) About Me  (Show Source):
You can put this solution on YOUR website!
1. |x|= 6
x=+6 and x= -6. Because of the definition of abs.
2. (sqrt(20) - 8x)^2 = x^2 . Elevate both members to the power of 2. And apply the rule of the square of a binomial.
20 - 2. sqrt(20).8x + 16x^2 =x^2. Reduce terms and elevate to the power of 2, both members again...
(-16x sqrt (20))^2 = (-15x^2+20)^2 . Then do the same as below. And the solution of the equation are: array{ x=((2 sqrt(5))/(7)), ≈0.6388765649999}and array{ x=((2 sqrt(5))/(9)), ≈0.496903995}