Step-by-step explanation:
2.
(2 + √3)(2 - √3)
- x² - y² = (x + y)(x - y)
- x = 2, y= √3
- x² = 2² = 4
- y² = √3² = 3
- (2 + √3)(2 - √3) = 4 - 3 = 1
3.
(6 + √5)/(6 - √5)
- Multiply both numerator and denominator by (6 + √5) to simplify
- (6 - √5) ((6 + √5) = 6² - √5² = 36 - 5 = 31
- (6 + √5)/(6 +√5) = 6² + 2*6*√5 + √5² = 36 + 12√5 + 5 = 41 + 12√5
- (6 + √5)/(6 - √5) = (41 + 12√5)/31
I have no idea what it is
Answer:
see below
Step-by-step explanation:
10x +8 = 3(x-2)
Distribute
10x +8 = 3x-6
Subtract 3x from each side
10x+8-3x = 3x-6-3x
7x +8 = -6
Subtract 8 from each side
7x+8-8 = -6-8
7x = -14
Divide each side by 7
7x/7 = -14/7
x = -2