A student solves the following equation and determines that the solution is −2. Is the student correct? Explain. 3/a + 2 − 6a/a2 − 4 = 1 /a − 2

Respuesta :

Answer:

No, a possible solution is a = –2, but it does not check in the original equation because it makes two of the denominators equal to zero.

No, a = –2 is an extraneous solution, and there is no solution to the original rational equation.

Step-by-step explanation:

edge 2020 :) hope this helps

The value of a is mathematically given as a=1.68989794. Both sides of the equation are unequal with -2 , Hence No, the student is not correct

What is an equation?

An Equation is simply defined as an mathematical statement, where two mathematical expressions are made equal to one another.

Was the solution of -2 given by the student to the equation correct?

Question Parameter(s):

. 3/a + 2 − 6a/a2 − 4 = 1 /a − 2

Firstly, for the student to be correct the value -2 as a value of a must render the equation equal to zero

Generally, the equation  is mathematically given as

3/a + 2 − 6a/a2 − 4 = 1 /a − 2

Subbing -2

3/(-2) + 2 − 6(-2)/(-2)2 − 4 = 1 /(2) − 2

-15.5-1.5

In conclusion, both sides are unequal

therefore, student, a is not correct

The correct value of a=1.68989794

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