Answer:
x = -1 and x = 5
Step-by-step explanation:
<em>What are the solutions of the equation (x – 3)² + 2(x – 3) -8 = 0? Use u substitution to solve.</em>
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(x – 3)² + 2(x – 3) -8 = 0 -------------------------------------------------------(1)
To solve this problem, we will follow the steps below;
let u = x-3
we will replace x-3 by u in the given equation:
(x – 3)² + 2(x – 3) -8 = 0
u² + 2u -8 = 0 ----------------------------------------------------------- --------------(2)
We will now solve the above quadratic equation
find two numbers such that its product gives -8 and its sum gives 2
The two numbers are 4 and -2
That is; 4×-2 = -8 and 4+(-2) = 2
we will replace 2u by (4u -2u) in equation (2)
u² + 2u -8 = 0
u² + 4u - 2u -8 = 0
u(u+4) -2(u+4) = 0
(u+4)(u-2) = 0
Either u + 4 = 0
u = -4
or
u-2 = 0
u = 2
Either u = -4 or u = 2
But u = x-3
x = u +3
when u = -4
x = u + 3
x = -4 + 3
x=-1
when u = 2
x = u + 3
x = 2 + 3
x=5
Therefore, x = -1 and x =5
x
Answer:The United States Electoral College is the group of presidential electors required by the ... They choose one elector per district and two electors for the ticket with the ... on the count of both voter and non-voter residents for state apportionment. ... there can be a president elected who does not win the national popular vote.
Step-by-step explanation:
To make a square for x²+bx=c, add(
)²on both side
in this case, b is-3/4, half of b is -3/8, and (-3/8)² is 9/64, so you add 9/64 to both side.
Answer:
Step-by-step explanation:
We know that we have a 9 foot long ladder resting upon a wall, with an unknown height, but the ladder is 4.5 feet away from the wall.
This can be represented as a triangle, where x is the unknown side.
|\
| \
x | \ 9
| \
| \
|_____\
4.5
We can use The Pythagorean Theorem to find the value of x. The theorem states that 
, where a and b are the lengths of the legs and c is the length of the hypotenuse.
However, we already know the hypotenuse and one leg. Therefore we can substitute inside the equation to find the missing value.
Hope this helped!
Answer:
I think C or D
Step-by-step explanation:
