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!
2(5x-15) + 2(2x+7) =0
10x-30+4x+14 = 0
14x = 16
x = 8/7
Answer:

Step-by-step explanation:
Recall the formula:

We apply this formula to simplify 
This implies that:



This simplifies to


Answer:
<u><em>Note. All numbers are rounded to the nearest tenth</em></u>
1
- x/9 = cos 48°
- x = 9 cos 48°
- x = 6.0
2.
- x/11 = sin62°
- x = 11 sin 62°
- x = 9.7
3.
- x/8 = tan 75
- x = 8 tan 75°
- x = 29.9
4.
- sin x = 38/53
- x = arcsin 38.53
- x = 45.8°
5.
- tan x = 15/20
- x = arctan 15/20
- x = 36.9°
6.
- cos x = 27/29
- x = arccos 27/29
- x = 21.4°