Answer:
- no real solutions
- 2 complex solutions
Step-by-step explanation:
The equation can be rearranged to vertex form:
x^2 -4x = -5 . . . . . . . . . subtract 4x
x^2 -4x +4 = -5 +4 . . . . add 4
(x -2)^2 = -1 . . . . . . . . . show the left side as a square
x -2 = ±√-1 = ±i . . . . . . take the square root; the right side is imaginary
x = 2 ± i . . . . . . . . . . . . . add 2. These are the complex solutions.
_____
<em>Comment on the question</em>
Every 2nd degree polynomial equation has two solutions. They may be real, complex, or (real and) identical. That is, there may be 0, 1, or 2 real solutions. This equation has 0 real solutions, because they are both complex.
Factors of 36: 1; 2; 3; 4; 6; 9; 12; 18; 36
Factors of 63: 1; 3; 7; 9; 21; 63
Answer: GCF(36; 63) = 9
Answer:
200 million represents a very large number and therefore it is not commonly encountered in the history of the people of God. However, is reflected in the number of silver coins annually paid by the vinedressers who farmed King Solomon's vineyards (ie, 1,000 x 1,000 x 200).
Answer:
Step-by-step explanation:
Angles 3x+5, 75 and x all together make up 180 degrees (review "straight angles").
Thus, 3x + 5 + 75 + x = 180
Simplifying the left side, we get:
4x + 80 = 180, so that 4x = 100, and x = 25.
<KJL = 3(25) + 5 = 80 degrees
<NJM = 25 degrees
<MJL = 75 degrees
A bar graph allows you to see each individual data bar, and i'm assuming a "wide range of numbers" which can be done by counting in a pattern (ex: by 5's, by 10's, etc.)
