Using the quadratic formula to solve x^2=5-x what are the values of x? a. -1 +/- √21/2 b.-1 +/-√19i/2 c.5+/- √21/2 d. 1 +/- √19i/2

Option a -

Step-by-step explanation:

Given : Expression

To find : What are the values of x?

Solution :

The quadratic formula of the quadratic equation is

Comparing with general equation,

where, a=1 ,b=1, c=-5

Substitute in the formula,

Therefore, The value of x is

So, Option a is correct.

1.) g(x) = 2x - 14

2.) g(x) = 2x - 10

3.) g(x) = 8x + 24

4.) g(x) = 8x - 6

Step-by-step explanation:

You are given a function

F(x) = 2x - 6

1.) When a function shift to the left along x axis, you will add. But if it shifts right, you will subtract. Therefore

g(x) = 2(x - 4) - 6

Open the bracket

g(x) = 2x - 8 - 6

g(x) = 2x - 14

2.) Translation or shifting at y axis is vice versa of translation at x axis. Up is positive, down is negative. Therefore,

g(x) = 2x - 6 -4

g(x) = 2x - 10

3.) Compression of 1/4 along y axis will be the reciprocal of the value multiply by the function. The compressed function will be

g(x) = 4( 2x - 6 )

Open the bracket

g(x) = 8x + 24

4.) When you stretch along x axis, you will only multiply the value by coefficient of x. The stretch function along x axis will be

g(x) = (4) 2x - 6

g(x) = 8x - 6