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PLEASE HELP!!

For what value of x does 2x-4/x+7 = 1/3?

A. 33/5

B. 2

C. 19/5

D. -7​

User Zmila
by
6.4k points

1 Answer

7 votes

Answer:

A i think

Explanation:

1 Multiply both sides by 3x3x.

6{x}^{2}-12+21x=x6x

​2

​​ −12+21x=x

2 Move all terms to one side.

6{x}^{2}-12+21x-x=06x

​2

​​ −12+21x−x=0

3 Simplify 6{x}^{2}-12+21x-x6x

​2

​​ −12+21x−x to 6{x}^{2}-12+20x6x

​2

​​ −12+20x.

6{x}^{2}-12+20x=06x

​2

​​ −12+20x=0

4 Use the Quadratic Formula.

x=\frac{-20+4\sqrt{43}}{12},\frac{-20-4\sqrt{43}}{12}x=

​12

​−20+4√

​43

​​

​​ ,

​12

​−20−4√

​43

​​

​​

5 Simplify solutions.

x=-\frac{5-\sqrt{43}}{3},-\frac{5+\sqrt{43}}{3}x=−

​3

​5−√

​43

​​

​​ ,−

​3

​5+√

​43

​​

​​

User Claro
by
6.1k points