Find the factors from the roots, then multiply the factors together.
y
=
x
2
−
21
x
+
104
Answer:
Question 1
since triangles are similar
angle B = angle D
8x + 16 = 120
x = 13
Question 2
Ttiangles are similar
therefore, sides are in ratio
AB ÷ XY = BC ÷ YZ = AC ÷ XZ
substituting all values we get
BC = 22
BC = 22AC = 16
4). x/5 =8
x = 40
5). 2x/3 = 12
2x = 36
x = 36/2 = 18
6). x + 26 =12
x = 12 - 26 = -14
7). 8x + 1 = -23
8x = -23 -1
8x = -24
x = -24/8 = -3
8). 2x + 5 =15
2x = 15 - 5
2x = 10
x = 10/2 = 5
9). 3x - 1 = -29
3x = -29 + 1
3x = -28
x = -28/3 Or 9.33
10). 8x - 12 = 53
8x = 53 + 12
8x = 65
x = 65/8 Or 8.12
11). 4x + 7 = 25
4x = 25 - 7
4x = 18
x =18/4 = 9/2 Or 4.5
It’s an integer, rational number, and a whole number
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