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Which statement(s) true when solving the equation for x ? CHOOSE TWO.

x2=81144

(2 points)
Responses

You would use the inverse operation of dividing both sides by 2
You would use the inverse operation of dividing both sides by 2

You would use the inverse operation of square root
You would use the inverse operation of square root

You would use the inverse operation of multiplying both sides by itself
You would use the inverse operation of multiplying both sides by itself

You would use the inverse operation of dividing both sides by 4
You would use the inverse operation of dividing both sides by 4

There is no solution for x in this equation.
There is no solution for x in this equation.

there would be one solution for x;

x = 81/72 = 9/8

there would be one solution for x; x = 81/72 = 9/8

there would be two solutions for x;

x = 9/12 = +3/4 and x = - 9/12 = - 3/4

there would be two solutions for x; x = 9/12 = +3/4 and x = - 9/12 = - 3/4

there would be one solution for x;

x = 9/12 = 3/4

there would be one solution for x; x = 9/12 = 3/4

there would be two solutions for x;

x = 81/72 = 9/8 and x = - 81/72 = -9/8

1 answer

To solve the equation \( x^2 = 81144 \), the correct statements are:

  1. You would use the inverse operation of square root.

    • To isolate \( x \), you would take the square root of both sides.

  2. There would be two solutions for x; \( x = 81/72 = 9/8 \) and \( x = -81/72 = -9/8 \).

    • When taking the square root of both sides, you get both the positive and negative solutions.

Therefore, the two correct responses are the ones regarding the use of the inverse operation of the square root and the existence of two solutions for \( x \).