Answer:
The solutions of the original equation are x=-5 and x=-2
Step-by-step explanation:
we have

Let

Rewrite the equation

Complete the square



rewrite as perfect squares

square root both sides




the solutions are
u=-2,u=1
<em>Alternative Method</em>
The formula to solve a quadratic equation of the form
is equal to
in this problem we have

so
substitute in the formula
the solutions are
u=-2,u=1
<em>Find the solutions of the original equation</em>
For u=-2
----> 
For u=1
----> 
therefore
The solutions of the original equation are
x=-5 and x=-2
Answer:
The first & the third are true.
Step-by-step explanation:
If you put the equation on the calculator, you'll get that x=1 then, the equation divides by (x-1) and has a remainder =0 & (x-1) is a factor of the equation since it gives a remainder=0
Answer:
15 + 5i
Step-by-step explanation:

Step-by-step explanation:
the answer is in the picture
Answer:
5. r(x) is f(x) translated down 16 units
7. g(x) is f(x) vertically scaled by a factor of 2/5
Step-by-step explanation:
5. Adding a number to a function value translates that value up by the amount of the number. If the number is negative, the translation is downward. Adding -16 to x^2 translates the graph down 16 units.
___
7. Multiplying a function value vertically scales the graph of the function by the multiplying factor. For factors greater than 1, the result is a vertical expansion; for factors less than 1, the result is vertical compression. Here, the function f(x) = x^2 is multiplied by 2/5, so the resulting g(x) is vertically scaled by a factor of 2/5 (compressed).
For a parabola, the effect is to make the graph appear "wider." Values some distance from the line of symmetry that would have been vertically off the page now appear on the page. Hence, the horizontal extent of the graph on the page has increased.