If you had to repeat the process using 1.4142135 as an approximation of 2, which process would you prefer and why?

The process is 'Squaring 1.4142135'

Step-by-step explanation:

We are given that,

1.4142135 is used repeatedly to approximate 2.

Now, we can see that ,

1.4142135 × 1.4142135 = 1.999999 ≅ 2

Thus, using the number 1.4142135 two times and taking their product approximates the number 2.

Hence, we used the process 'squaring the number 1.4142135' to obtain 2 approximately.

by definition, an arc subtended by a central angle of some given measure has the same measure. so .

x = ±sqrt(10)

step-by-step explanation:

5 - 2x² = -15

subtract 5 from each side

5-5 - 2x² = -15-5

-2x^2   = -20

divide by -2 on each side

-2x^2   /-2= -20/-2

x^2 =10

take the square root on each side

sqrt(x^2 )=±sqrt(10)

x = ±sqrt(10)

check:

5 - 2x² = -15

+sqrt(10)

5 - 2(sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15

-sqrt(10)

5 - 2(-sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15