Answer:
8 = b - 1 + 8b
group like terms
8 + 1 = b + 8b
9 = 9b cus b standing alone me 1b
divide both side by 9
<u>9</u><u> </u> = <u>9</u><u>b</u>
9 9
b = 1
Answer:
7.07 units
Step-by-step explanation:
Use the Pythagorean theorem for the right triangle:

If a = x, b = x, and c = 10, then

97 is not a pefect square. You can obtain the square root of 97 using a calculator.
Using a calculator, square root of 97 is approximately 9.85
Answer:
<u>f(x) = = (x + √2 i) (x - √2 i) (x - 2 ) (x + 1)</u>
Step-by-step explanation:
The given function is f(x) = x⁴ - x³ -2x -4
factor the polynomial function
f(x) = x⁴ - x³ -2x -4 = (x⁴ - 4) - (x³ + 2x ) ⇒ take (-) as a common from (- x³ -2x)
= (x² + 2 ) (x² - 2) - x (x² + 2) ⇒ take (x² + 2) as a common
= (x² + 2 ) ( x² - x - 2)
= (x + √2 i) (x - √2 i) (x -2 ) ( x+1)
Notes: (x⁴ - 4) = (x² + 2 ) (x² - 2)
(x² + 2)= (x + √2 i) (x - √2 i)
( x² - x - 2) = (x -2 ) ( x+1)