Solve the following rational equation for x.
1/4x-3/4=7/x
1 answer:
Answer:
x1= -4, x2 = 7
Step-by-step 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
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Isolating the x^2 is the simplest way. it would only be three steps.
Answer:
0.1338 to the nearest ten thousandth.
Step-by-step explanation:
40 / 299
= 0.1337792642