Solve the following equation algebraically:

2 answers:

Montano1993 [528]3 years ago

7 0

For this case we have the following equation:
-16 = 16x ^ 2
Clearing x we have:
-16 / 16 = x ^ 2
x ^ 2 = -1
x = +/- root (-1)
Rewriting:
x = +/- i
Therefore, the solutions are:
x1 = i
x2 = -i
Answer:
this equation has two solutions:
x1 = i
x2 = -i

prohojiy [21]3 years ago

5 0

B. No solution because I got that right

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The graph represents two complex numbers, z1 and z2, as solid line vectors. Which points represent their complex conjugates?

REY [17]

Point A represents the complex conjugate z₁ and point L represents the complex conjugate of z₂ respectively

The complex conjugate of a complex number is a complex number that having equal magnitude in the real and imaginary part as the complex number to which it is a conjugate, but the imaginary part of the complex conjugate has an opposite sign to the original complex number

Therefore, graphically, the complex conjugate is a reflection of the original complex number across the x-axis because the transformation for a reflection of the point (x, y) across the x-axis is given as follows;

Preimage (x, y) reflected across the x axis give the image (x, -y)

Where in a complex number, we have;

x = The real part

y = The imaginary part

The reflection of z₁ across the x-axis gives the point A, while the reflection of z₂ across the x-axis gives the point L

Therefore;

Point A represents the complex conjugate z₁ and point L represents the complex conjugate of z₂

Learn more about complex numbers here;

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