Answer:
x = 2 + √2
x = 2 - √2
Step-by-step explanation:
- x² + 2x + 1 = 0
x² - 2x - 1 = 0
Here,
a = <em>1</em>
b = <em>- 2</em>
c = <em>- 1</em>
Now,
Discriminant
D = b² - 4ac
= (-2)² - 4(1)(-1)
= 4 + 4
= 8
=2√2 > 0
<em><u>Real and </u></em><em><u>D</u></em><em><u>istinct roots </u></em>
x = - b +- √b² - 4ac/2a
= - (-2) +- √ = (-2)² - 4(1)(-1)/2(1)
= 2 +- √4 + 4/2
= 2 +- √8/2
= 2 +- 2√2/2
= 2 +- √2
x = 2 + √2 or x = 2 - √2
Answer:
- m∠C = 43.6°, m∠B = 107.4°, b = 51.2
Step-by-step explanation:
<u>Use the law of sines:</u>
- a / sin ∠A = c / sin ∠C
- 26 / sin 29° = 37 / sin ∠C
- sin ∠C = 37 sin 29° / 26
- sin ∠C = 0.6899
- m∠C = arcsin 0.6899
- m∠C = 43.6°
<u>Find the missing angle:</u>
- m∠B = 180° - 29° - 43.6° = 107.4° (rounded)
<u>Use the law of sines to find the length of b:</u>
- a / sin ∠A = b / sin ∠B
- 26 / sin 29° = b / sin 107.4°
- b = 26 sin 107.4° / sin 29°
- b = 51.2 units (rounded)
Slope to the a up 4, then to the right once, skip a spot, return, then resort home!
Happy Friday everyone!!
Answer:
Step-by-step explanation:
Subtract 3 from both sides:
Add x to both sides:
Divide 7 on both sides:
