On a test eddie solved the equation 5/x-2 - 20/x^2 -4=1 and found that x=2 and x=3 his steps where correct so why was his answer marked wrong? a)he is correct the teacher was wrong b)x=2is correct soulution , but x=3 is an exstraneous soulution c)x=3is correct soulution , but x=2 is an exstraneous soulution d)both x=2 and x=3 are exstraneous soulutions

infinitely many solutions

step-by-step explanation:

we have been given the equation;

2(2x + 3) = -4 + 2(2x + 5)

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solutions