Answer:
AQ = 20 units
Step-by-step explanation:
Comparing triangle AQR to ABC,
= 
= 
cross multiply and make p the subject of formula, we have:
8p (2p+3) = 4p(6p-4)
16
+ 24p = 24
- 16p
24p + 16p = 24
- 16
40p = 8
divide through by 8p,
p = 5
Therefore, AQ = 4p
= 4 × 5
= 20
AQ = 20 units
Answer:

Step-by-step explanation:
x² + 6x + 9 = 12 → x² + 6x - 3
Since this Quadratic Expression is unfactorable, apply the <em>Quadratic</em><em> </em><em>Formula</em>:


√48 = √[3 × 16] = 4√3
½[4√3] = 2√3
Then attach half of -6 to it as well [-3]:
-3 ± 2√3
I am joyous to assist you anytime.
First you want to reduce the brackets
Next you want to factor out the common number 3
Next you want to factor 20 + x^3 + 11x - 8x^2 by using the polynomial division method/technique
Lastly you just factor x^2 - 9x + 20 to get the answer.
Yes you are correct, the solutions are 1, 4, and 5.