Answer:
B)3 = 5x2 – 10x
D)8 = 5(x2 – 2x + 1)
G) = (x – 1)2
Step-by-step explanation:
Given quadratic : 3 - 4x = 5x2 - 14x
We need to apply completing the square to solve the equation.
First step is to get rid 4x from left side.
We can add 4x on right side to get rid from left side.
3 = 5x^2-14x+4x
On simplifying this step, we get
3 = 5x^2-10x
Now, we need to factor out 5 from right side to get the coefficient of x^2 as 1.
We get,
3 = 5(x^2-2x)
Now, coefficient of x is -2. So, we need to add half of the square of -2.
-2/2 = -1.
And square of -1 is 1.
Therefore, adding 1 inside parenthesis and 5×1 = 5 on left side, we get
3+5 = 5(x^2 -2x+1)
8 = 5(x^2 -2x+1)
Let us find the perfect square of (x^2 -2x+1).
(x^2 -2x+1) = (x-1)^2
Therefore, we get
8 = 5(x-1)^2.
So, the above highlighted are steps in the process of completing the square.
Answer:
Final answer in simplified form is
Step-by-step explanation:
Given expression is
Now we need to find an equivalent expression for
First we can distribute the negative sign and remove the parenthesis the combine like terms
Hence final answer in simplified form is
(0, -2) and (1, 0)
You can get these answers by setting the two equations equal to each other and solving. You'll get x = 1 and x = 0. Plug in for the y values.
Answer:
<h2>On a coordinate plane, a parabola opens up with x-intercepts at (negative 2, 0) and (2, 0), and a y-intercept at the vertex (0, negative 4).</h2>
Step-by-step explanation:
Parabollas are characterized by being curves which opens upside or downside.
When the parabolla opens upside, then we say it has a minium.
When the parabolla opens downside, then we say it has a maximum.
In either the minium or maximum point is defined by the vertex.
As you can observe, among the choices, the last one is the only one that opens up, therefore, it has a minimum value vertex.
Go choose the one you think