Use the Quadratic Formula to solve the equation x² - 6x = -14. 1. X=3+23 or X = 3-V23
2. X=-3+V23 orX=-3-V23
3. X=-3+iv5 or X=-3-i15
4. X=3+iv5 orx = 3-iv5

D. x = 3+i√5 or 3-i√5

Step-by-step explanation:

Given the equation x² - 6x = -14, on rewriting the equation in the firm if a quadratic equation ax²+bx+c = 0 will give x² - 6x + 14= 0.

Required

Use the quadratic formula to solve the equation.

The quadratic formula is expressed as x = (-b±√b²-4ac)/2a

From the equation given, a = 1, b = -6 and c = 145.

x = (-(-6)±√(-6)²-4(1)(14))/2(1)

x = = (6±√36-56)/2

x = = (6±√-20)/2

x =  (6±√20*√-1)/2

Since √-1= i

x =  (6±√20 i)/2

x =  (6±√5*4 i)/2

x =  (6±2√5 i)/2

x = 6/2 ± 2√5 i/2

x = 3±√5 i

x = 3+i√5 and 3-i√5

Hence the solution to the quadratic equation is x = 3+i√5 and 3-i√5

unpaid balance is : $149.99-$50 = $99.99 new balance = 149.99+2.62-50 = $102.61 finance charge = 99.99- 0.21/12= $1.75 new balance = 99.99+1.75 = $101.74 average daily balance method average daily balance= 3399.70/30 = $113.32 finance charge = $ 0.21/12ă—113.32 = $1.98 new balance = $149.99-50+1.98 = $101.97

answer: a) (0,0), (1,1), (2,8), and (3,27).

step-by-step explanation:

0^3=0

1^3=1

2^3=8

3^3=27

in effect, the exponential equation for this would me y=3^x. each x-coordinate cubed is giving the y coordinate, so a is your answer : )