Answer:
B
Step-by-step explanation:
Step by Step Solution
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STEP
1
:
Equation at the end of step 1
(((2y - 1)2) - 4 • (2y - 1)) + 4
STEP
2
:
Trying to factor by splitting the middle term
2.1 Factoring 4y2-12y+9
The first term is, 4y2 its coefficient is 4 .
The middle term is, -12y its coefficient is -12 .
The last term, "the constant", is +9
Step-1 : Multiply the coefficient of the first term by the constant 4 • 9 = 36
Step-2 : Find two factors of 36 whose sum equals the coefficient of the middle term, which is -12 .
-36 + -1 = -37
-18 + -2 = -20
-12 + -3 = -15
-9 + -4 = -13
-6 + -6 = -12 That's it
Answer:
x = -15 and x = 1
Step-by-step explanation:
Since we have to use the complete the square method, we first need to <u>rewrite the equation</u> in the form
.
This results in
.
Next, we <u>simplify the equation</u> to get
.
<u>Factoring </u>the left side gives us
.
Finally we <u>solve the equations</u>:
and
.
This gives us x=1, and x=-15
Replace f(x) with 0 and swith the equation around to solve for x
x^4 - 32x^2 - 144 = 0
Factor the left side:
(x+6) (x-6) (x^2+4)
so far we have x+6 = 0, x = -6
x -6 = 0, x = 6
solve x^2 +4 = 0
x^2 = -4
x = sqrt(-4)
x = 2i, -21
The answer is B) 2i, 6, -6
Answer:
If θ is the angle between two vectors u and v, then cosθ = (u·v
Step-by-step explanation: