Step-by-step explanation:
x² + 2x - 5 = 0
that is the same as
x² + 2x + 1 = 6
(x + 1)² = 6
x + 1 = ±sqrt(6)
x = -1 ± sqrt(6)
x1 = -1 + sqrt(6)
x2 = -1 - sqrt(6)
n² - 20n + 2 = 4
this is the same as
(n - 10)² = 102
n - 10 = ±sqrt(102)
n = 10 ± sqrt(102)
n1 = 10 + sqrt(102)
n2 = 10 - sqrt(102)
Step-by-step explanation:
See attached picture.
First, compare the highest term of the dividend (x²) to the highest term of the divisor (x). We need to multiply the divisor by x.
When we do that, we get x² + 5x. Subtracting this from the dividend, we get -9x + 11.
Now repeat the process. Compare the highest term of the new dividend (-9x) to the highest term of the divisor (x). We need to multiply by -9.
When we do that, we get -9x − 45. When we subtract from the new dividend, we get 56.
So the quotient is x − 9, and the remainder is 56.
Answer:
x = -2
y = 3
Step-by-step explanation:
-5x + 3y = 19
x = 3y - 11
-5x + 3y = 19
-5(3y - 11) + 3y = 19
-15y + 55 + 3y = 19
-15y + 3y + 55 = 19
-12y + 55 = 19
-12y = 19 - 55
-12y = -36
y = -36/-12
<u>y = 3</u>
x = 3y - 11
x = 3(3) - 11
x = 9 - 11
<u>x = -2</u>
35
each watch face has 7 choices of band so 5 times 7 is 35