Bunuel wrote:

Which of the following is a solution to the equation 4x² − 7x − 49 = 5x + 63?

A. 3

B. 4

C. 5

D. 6

E. 7

The 2 posts above both show the algebraic solution, which is the fastest way to solve this question.

However, if you didn't consider the algebraic, you can still solve the questions by

plugging in the answer choices.

A. 3

Replace x with

3 to get: 4(

3²) − 7(

3) − 49 = 5(

3) + 63

Simplify: 36 - 21 - 49 = 15 + 63

I won't go any further, because I can see that the left side will evaluate to be NEGATIVE, and the right side will be POSITIVE

B. 4

Replace x with

4 to get: 4(

4²) − 7(

4) − 49 = 5(

4) + 63

Simplify: 64 - 28 - 49 = 20 + 63

I won't go any further, because I can see that the left side will evaluate to be NEGATIVE, and the right side will be POSITIVE

.

.

.

E. 7

Replace x with

7 to get: 4(

7²) − 7(

7) − 49 = 5(

7) + 63

Simplify: 196 - 49 - 49 = 35 + 63

Evaluate: 98 = 98

PERFECT!

Answer: E

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