# Algebra

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Solve for x: (x/4)-(5/x)=(1/4)

• Algebra -

how about multiplying each term by 4x ?

x^2 - 20 = x
x^2 - x - 20 = 0

solve for,
an easy one, it factors

• Algebra -

Wouldn't it be x^2-20=4 since (1/4)•4x= (4x/4)? So that means it would be x^2-24=0, right? Where would I go from there?

• Algebra -

...since (1/4)•4x= (4x/4)?

yup, and what is 4x/4 ?
isn't that x ?

so you know how to factor simple trinomials?
x^2 - x - 20 = 0
(x-5)(x+4) = 0
so x = 5 or x = -5

check:
if x = 5
5/4 - 5/5 = 5/4 - 1 = 1/4 , check!
if x = -4
-4/4 - 5/-4
= -1 + 5/4 = 1/4 , check!

my answers are correct

• Algebra -

Ay, my bad. Thanks :) and you mean x=5 or x=-4 right?

• Algebra -

right, x = 5 and x = -4,

• Algebra -

Haha its ok. Thanks for the help.

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