Set equal to each other
x^2 - 8 = 2x
x^2 - 2x - 8 = 0
Factor
(x - 4)(x + 2) = 0
x = 4 or x = -2
Plug in 4
y = 2x or y = x^2 - 8
y = 2(4) or y = 4^2 - 8
y = 8
Plug in -2
y = 2x or y = x^2 - 8
y = 2(-2) or y = (-2)^2 - 8
y = -4
There are two solutions
(4, 8) and (-2, -4)
Answer:
x² - 6x + 9
Step-by-step explanation:
(x - 3)²
= (x - 3)(x - 3)
Each term in the second factor is multiplied by each term in the first factor
= x(x - 3) - 3(x - 3) ← distribute both parenthesis
= x² - 3x - 3x + 9 ← collect like terms
= x² - 6x + 9 ← in standard form
Add 25 to both sides:

Square root both sides.
When you square root a perfect square, you will get a plus/minus result:



The other solution to this answer is x = -5.
Answer:
x=7
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
Answer:
<h2>1</h2>
Step-by-step explanation:
Magnitude
of an earthquake is defined as
. Here
is the Intensity of the earthquake and
is the intensity of standard earthquake.
We have an earthquake that is 10 times more intense than a standard earthquake. Let us denote the intensity of the earthquake as
.
10 times more intense than standard earthquake ⇒ 
Magnitude of the earthquake = 
∴ Magnitude of the earthquake is 1.