Given:
There are given the quadratic equation:
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:
Now,
Take half of the x term and square it:
So,
From the x term,
Then,
Add 64 on both sides of the above equation.
So,
Hence, an option first is correct:
Now,
From the above square:
![\begin{gathered} (x+8)^2=5 \\ x+8=\pm\sqrt[]{5} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20%28x%2B8%29%5E2%3D5%20%5C%5C%20x%2B8%3D%5Cpm%5Csqrt%5B%5D%7B5%7D%20%5Cend%7Bgathered%7D)
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}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20x%2B8%3D%5Cpm%5Csqrt%5B%5D%7B5%7D%20%5C%5C%20x%2B8-8%3D%5Cpm%5Csqrt%5B%5D%7B5%7D-8%20%5C%5C%20x%3D%5Cpm%5Csqrt%5B%5D%7B5%7D-8%20%5C%5C%20x%3D%5Csqrt%5B%5D%7B5%7D-8%2C%5Cpm%5Csqrt%5B%5D%7B5%7D-8%20%5C%5C%20x%3D-5.7639%2C-10.236067%20%5Cend%7Bgathered%7D)
Final answer:
Hence, the value of x is shown below:
Answer:
x^2 + 10x + 25; (x + 5)^2.
Step-by-step explanation:
When we're talking about line segments, we just have to find the sum of the two parts of the line segment to find the value of the whole. In this case, we have x^2 + 25, and 10x. So, we add them together.
x^2 + 25 + 10x
= x^2 + 10x + 25
Since this can be immediately factored into (x + 5)^2, you have your answer.
Hope this helps!
Answer:
11q-12+29
Step-by-step explanation:
Add like terms which in this case would be -5 and -7 which would equal -12. Those are the only like terms so your answer would be 11q-12+29
Answer:
1/2
Step-by-step explanation:
The dimensions are cut in half ....scale factor 1/2
