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!
Answer:
f = 8
Step-by-step explanation:
- Apply the distributed property, so it now looks like this: 2f - 10 = 6
- Add 10 to each side, so it now looks like this: 2f = 16
- Divide each side by 2 to cancel out the 2 next to f. It should now look like this: f = 8
I hope this helps!
Answer:
5cm+6cm=11cm
Step-by-step explanation:
Adding the two,
75÷25%
25%=0.25
75÷0.25
=300
Your answer is 300
Answer:
y = -1
Step-by-step explanation:
When solving this equation use the distributive property and get...
-4 (y - 2) = 12
-4y + 8 = 12
-4y = 12 - 8
-4y = 4
y = -1
