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LenaWriter [7]
4 years ago
11

Does anyone know how to do this ??

Mathematics
1 answer:
AleksandrR [38]4 years ago
6 0
Hey! DONT press that link its so they can hack you loll
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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:

x=(-5.76,-10.24)

4 0
1 year ago
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