SAT, 13.02.2021 02:10 levicorey846
NSWER EXPLANATION: There are two ways to solve this question. The faster way is to multiply each side of the given equation by axβ2 (so you can get rid of the fraction). When you multiply each side by axβ2, you should have:
24x2+25xβ47=(β8xβ3)(axβ2)β53
You should then multiply (β8xβ3) and (axβ2) using FOIL.
24x2+25xβ47=β8ax2β3ax+16x+6β53
Then, reduce on the right side of the equation
24x2+25xβ47=β8ax2β3ax+16xβ47
Since the coefficients of the x2-term have to be equal on both sides of the equation, β8a=24, or a=β3.
The other option which is longer and more tedious is to attempt to plug in all of the answer choices for a and see which answer choice makes both sides of the equation equal. Again, this is the longer option, and I do not recommend it for the actual SAT as it will waste too much time.
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NSWER EXPLANATION: There are two ways to solve this question. The faster way is to multiply each sid...
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