For which equation does it make the most sense to solve by completing the square?

x² + 20x = 52

5x² + 3x = 9

x 2 - 8=1

3 x 2 - x+17=0

The equation for which square method is possible is x²-8=1

Step-by-step explanation:

For checking which of the equation satisfies the complete square condition, we proceed by checking each of the available options

1). x²+20x=52

Rewriting it as x²+20x-52

This binomial expression is not a perfect square since the product of the coefficient of x² (i. e. 1) and independent constant (i. e. 52) is not a perfect square.

2). 5x² + 3x = 9

This equation can be rearranged as 5x²+3x-9=0

This binomial expression is not a perfect square since the product of the coefficient of x² (i. e. 5) and independent constant (i. e. 9) is not a perfect square.

3.) x² - 8=1

This equation can be rearranged as x²=9

Hence x = ±3

This binomial expression is a perfect square and can be done by the square method.

4). 3x² - x+17=0

This binomial expression is not a perfect square since the product of the coefficient of x² (i. e. 3) and independent constant (i. e. 17) is not a perfect square.