What is the solution set of the quadratic inequality 4(x + 2)^2≤0?
{x| x=-2}
{x|x € ℝ}
{x|x= 2}
0

The solution set of the quadratic inequality is {x|x= 2}

Computation:

The equation will use the cross-division method along with the quadratic expression of:

In the given expression:

a is x

b is 2

Solving the quadratic equation:

Now, simplifying the expression:

Applying the quadratic formula we get;

As, the quadratic equation is having only one solution for the expression, therefore the value of x will be equal to 2 only.

Thus, the correct, solution for the set expression is  {x|x= 2}

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{x | x = 2}

Step-by-step explanation:

4(x + 2)² ≤ 0

(x + 2)² ≤

Simplifying this gives;

x² - 4x + 4 ≤ 0

Applying the quadratic formula we get;

x ≤ 2

But the quadratic equation above have only one solution so the answer is ;

{x | x = 2}