Answer:
x = 11, -1
Step-by-step explanation:
First, let's identify what the quadratic formula is:
x = [-b ± √(b² - 4(a)(c))] / 2
Our equation is written in standard form:
ax² + bx + c = 0
x² - 10x - 11 = 0
Let's plug in what we know.
x = [-(-10) ± √((-10)² - 4(1)(-11))] / 2
Evaluate the exponent.
x = [-(-10) ± √(100 - 4(1)(-11))] / 2
Simplify the negatives.
x = [10 ± √(100 - 4(1)(-11))] / 2
Multiply.
x = [10 ± √(100 + 44)] / 2
Simplify the parentheses.
x = [10 ± √(144)] / 2
Simplify the radical (√)
x = [10 ± 12] / 2
Evaluate the ±.
x = [10 + 12] / 2
x = [22] / 2
x = 11
or
x = [10 - 12] / 2
x = [-2] / 2
x = -1
Your answers are x = 11, -1
Hope this helps!
To evaluate this expression, we need to remember that subtracting a negative number is the same as adding a positive number, and that adding a negative number is the same as subtracting a positive number. Using this knowledge, let's begin to simplify the expression below:
-1 - 3 - (-9) + (-5)
Because addition of a negative number is the same as subtraction of a positive number, we can change + (-5) to -5, as shown below:
-1 - 3 - (-9) - 5
Next, because we know that subtracting a negative number is the same as adding a positive number, we can change - (-9) to + 9, as shown below:
-1 - 3 + 9 - 5
Now, we can subtract the first two terms and begin to evaluate our expression:
-4 + 9 - 5
Next, we can add the first two numbers of the expression:
5 - 5
Now, we can subtract our last two numbers, which gives us our answer:
0
Therefore, your answer is 0.
Hope this helps!
Answer:
The answer is 9 + 21b
Step-by-step explanation:
Simplify the expression.
~Hoped this helped~
