create a problem that is equal to 11 using one negative number, one square root, and multiplacation

1 answer

Problem: Find a value for "x" that satisfies the equation:

(-3) * (√4x) = 11

Solution:

First, simplify the equation by evaluating the square root of 4x. Since the square root of a number squared is equal to the absolute value of that number, we have:

(-3) * (2√x) = 11

Next, divide both sides of the equation by -3 to isolate the square root:

2√x = -11/3

Then, divide both sides of the equation by 2:

√x = (-11/3) / 2

Simplify the right side:

√x = -11/6

Now, square both sides of the equation to get rid of the square root:

x = ((-11/6)^2)

Simplify the right side:

x = 121/36

Therefore, the value of "x" that satisfies the equation (-3) * (√4x) = 11 is x = 121/36.