I understood the whole problem but why they add 5 under square root?please help me

Mathematics

1 answer:

mash [69]3 years ago

6 0

I don't understand.. but I think that I know why.. just give me a little more details about the question but here's my guess.:

It may be square root like the answer may be squared in order to answer a rectangular prism..

Or, it may be a power..

Sorry, I don't know if I was helping, but this is the best I could do b/c I don't know a lot about the problem

You might be interested in

Solve the quadratic equation by completing the square.x ^ 2 + 16x + 59 = 0First, choose the appropriate form and fill in the bla

nikitadnepr [17]

Given:

There are given the quadratic equation:

$x^2+16x+59=0$

Explanation:

To find the value of x by using completing the square, first, we need to subtract 59 on both sides of the given equation:

So,

From the given equation:

$\begin{gathered} x^2+16x+59=0 \\ x^2+16x+59-59=0-59 \\ x^2+16x=-59 \end{gathered}$

Now,

Take half of the x term and square it:

So,

From the x term,

$\lbrack16\cdot\frac{1}{2}\rbrack^2=64$

Then,

Add 64 on both sides of the above equation.

So,

$\begin{gathered} x^2+16x=-59 \\ x^2+16x+64=-59+64 \\ x^2+16x+64=5 \\ (x+8)^2=5 \end{gathered}$

Hence, an option first is correct:

$(x+8)^2=5$

Now,

From the above square:

$\begin{gathered} (x+8)^2=5 \\ x+8=\pm\sqrt[]{5} \end{gathered}$

Then,

Subtract 8 from both sides of the equation;;

So,

$\begin{gathered} x+8=\pm\sqrt[]{5} \\ x+8-8=\pm\sqrt[]{5}-8 \\ x=\pm\sqrt[]{5}-8 \\ x=\sqrt[]{5}-8,\pm\sqrt[]{5}-8 \\ x=-5.7639,-10.236067 \end{gathered}$

Final answer:

Hence, the value of x is shown below: