Question

Solve 3(w+7)^2=-72, where w is a real number

Answer 1

Answer:

No real solution.

Step-by-step explanation:

We have to solve for the equation:

$3(w+7)^2=-72$

Now, this can be re-written as:

$3(w+7)^2=-72\\=\left(w+7\right)^2=-24$

So here we see that the left side of the equation is always a positive term, whereas the right side of the equation is the negative term.  

So here we will never get a real value of w.

This is because the square root of the negative term is a complex number.

So here there is no real solution of the given equation.