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5 votes
Solve the following rational equation for x.
1/4x-3/4=7/x

User Ajay S
by
6.0k points

2 Answers

3 votes

Answer:

x1= -4, x2 = 7

Explanation:

Move expression to the left-hand side:

1/4x-3/4-7/x=0

Write all the numerators above a common denominator:

x^2 - 3x - 28 /4x =0

When the quotient of expressions equal 0, the numerator has to be 0

x^2 + 4x - 7x - 28 = 0

x(x+4) - 7(x+4) =0

(x+4) × (x-7) =0

Separate into possible cases:

x+4=0

x-7=0

User CRP
by
6.8k points
2 votes

Answer: -9

Explanation:

User Armin
by
5.3k points