-1 (-12 - 9i) + 4i (-12 - 9i)
= 12 + 9i + -48i + 9i^2
= 9i^2 + 39i + 12
Answer:
X = -1/2 or 1/2
Step-by-step explanation:
When the square root of a number is found, this usually results in 2 solutions which may be equal in size but opposite in signs.
As such,
X^2=1 to find x find the root of both sides
X = √1
X = -1 or 1
Going by this
4x^2=1
Divide both sides by 4
X^2=1 /4
taking the square root of both sides
X = √1/4
The root of 1 is -1 or 1 while that of 4 is -2 or 2 hence,
X = -1/2 or 1/2
Answer:
see explanation
Step-by-step explanation:
The y- intercept is at (0, 6) ⇒ c = 6
The x- coordinate of the vertex is at the midpoint of the zeros, that is
m =
=
= - 2
Since the zeros are x = - 3 and x = - 1 then the factors are (x + 3), (x + 1) and
f(x) = a(x + 3)(x + 1) = a(x² + 4x + 3)
Comparing with f(x) = ax² + 8x + 6 ⇒ a = 2
Thus
f(x) = 2x² + 8x + 6
Substitute m = - 2 into the equation for value of n
n = 2(- 2)² + 8(- 2) + 6 = 8 - 16 + 6 = - 2
Hence
c = 6, m = - 2, a = 2, n = - 2

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.
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.