Will give abrainlest and 50pts which solution to the equation 3/a+2 + 2/a = 4a-4/a^2-4 is extraneous? a= -2 a= -2 and a= 4 neither a= -2 and a= 4 a= 4

a=-2 is extraneous solution.

Step-by-step explanation:

Given the equation

we have to find the extraneous solution.

An extraneous solution is a solution to an equation, that emerges from the process of solving the problem but is not a valid solution to the problem.

On solving, we get

The solution is a=4 and a=-2

Here the solution a=-2 is the valid solution as it makes the denominator 0.

⇒ a=-2 is extraneous solution.

Option 1 is correct.

we have three similar triangles, because each has a right angle and shares an angle.   let's write the angles in order: opposite to short leg, long leg, hypotenuse.

cab similar to bad similar to cbd

or as ratios,

ca: ab: cb = ba: ad: bd = cb: bd: cd

we also know

ac = ad + cd

(ad+cd): ab: cb = ba: ad: bd = cb: bd: cd

(ad+cd)/cb=cb/cd

we have cb=6, ad=5 and seek x=cd.

we reject the negative root and conclude x=4

answer: 4

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step-by-step explanation: