Solve by completing the square -x^2+8x-6=0

1 answer:

6 0

-x² + 8x - 6 = 0
x = -(8) +/- √((8)² - 4(-1)(-6))
 2(-1)
x = -8 +/- √(64 - 20)
 -2
x = -8 +/- √(44)
 -2
x = -8 +/- 2√(11)
 -2
x = -8 + 2√(11) x = -8 - 2√(11)
 -2 -2
x = 4 - √(11) x = -8 + √(11)

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4)

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3)

Do the same thing for this one and set them equal to each other

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1. Draw an appropriate Venn diagram to depict each of the following sets. U = The set of integers. A = The set of even integers.

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The attached diagram represents the Venn diagram of the sets

<h3>How to draw the Venn diagram?</h3>

The sets are given as:

The universal set, U = The set of integers.
A = The set of even integers.
B = The set of odd integers.
C = The set of multiples of 3.
D= The set of prime numbers

From the above representation, we have the following highlights:

Set A and set B will not intersect, because no number can be even and odd
Set C and set D will intersect set A because they have common elements 6 and 2, respectively
Set C and set D will intersect set B because they have common elements 3 and 3, respectively

Using the above highlights, we can now draw the Venn diagram

See attachment for the Venn diagram