Answer:
x = 4 ±9i
Step-by-step explanation:
x^2 - 8x + 97 = 0
Complete the square by subtracting 97 from each side
x^2 - 8x =- 97
Take the coefficient of x
-8 and divide by 2
-8/2 = -4
Then square it
(-4)^2 = 16
Add it to each side
x^2 - 8x + 16 = -97+16
(x-4)^2 = -81
Take the square root of each side
x-4 = ±sqrt(-81)
x-4 = ±9i
Add 4 to each side
x = 4 ±9i
To find that you would do (such that x is the unknown) 3x+5(x+2)=106
and if you do this you will find that x=12
so the two numbers you are looking for are 12 and 14
Answer:

Step-by-step explanation:

Answer:
(- 1, - 1 )
Step-by-step explanation:
Since the dilatation is centred at the origin, then multiply the coordinates of the original point by the scale factor, that is
(- 3, - 3 ) → (
× - 3,
× - 3 ) → (- 1, - 1 )