Remember that the quadratic formula is:
.
stands for the coefficient of the first term, the one associated with the
,
stands for the coefficient of the second term, the one associated with
, and
stands for the value of the constant.
In
, our a-value is 1, our b-value is also 1, and our c-value is also 1.
Thus, when we plug in our values into our formula, we get the answer:

Simplifying this answer using
, we get our final answer of:

Answer:
(x-6) (2x+1)
Step-by-step explanation:
1) move everything over to the left side, so subtract 11x and 6.
2x^2 -11x - 6 = 0
2)multiply 2(a term) with -6 (c term)
x^2 -11x -12
3) factor and find what multiples to -12 and adds up to -11. in this case its -12 and positive 1
(x-12) (x+1)
4) divide -12 and 1 by the original a term (2)
(x-6) (x+1/2)
5) move the denominator of 2 over to the x.
(x-6) (2x+1)
Answer:
53
Step-by-step explanation:
Given: The sum of two digit number is 8
Reversing the digit will get us number 18 less than the original.
Lets take x as tenth digit of our number and y as unit digit of our number.
As given sum of digit is 8
∴ 
∴
- equation 1
We also know that reversing the digit will get us number 18 less than the original.
∴ 
Now, lets put the value of y from equation 1
⇒ 
⇒ 
⇒ 
∴ 
Next, substituting the value of x in equation 1

⇒ 
∴ 
∴ The original number is 53, sum of the digit is 8 and if we reverse the digit of the number, we get 35, which is 18 less than the original number.
This is a bad question. It should really be asking about the solutions of f(x)=0 (an actual equation) or the <em>zeros </em>of f(x).
The zeros of a function f(x) are the xs where f(x)=0. That means where the curve intersects the x axis. That's (-4,0) and (2,0) on the graph.
Answer: C (-4,0), (2,0)