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:
The value of x is -2 and 2.
Step-by-step explanation:
When solve an expression, you have to make the expression equals to 0 by moving all the terms to one side :
x² - 3x - 1 = -3x + 3
x² - 3x - 1 + 3x - 3 = 0
x² - 4 = 0
Next, you have to factorize and solve it :
x² - 4 = 0
x² + 2x - 2x - 4 = 0
x(x + 2) - 2(x + 2) = 0
(x + 2)(x - 2) = 0
x + 2 = 0
x = -2
x - 2 = 0
x = 2
I don't know what your looking for, so be more specific, but I'm assuming your solving for x, so that's would be
x = -1
Well, 1/4 of 24 gets us 6 (since 24 = 6 x 4), so <em>3/4 </em>should get us 6 × 3 = 18.
For this case we have a function of the form:
y = A * (b) ^ t
Where,
A: initial amount
b: growth rate
t: time
Substituting values we have:
y = 100000 * (1.10) ^ 4
y = 146410
Answer:
the value of his house at the start of 2018 is:
y = 146410
