Answer:
x = 4 or x = 1 or x = -2 or x = -3/2
Step-by-step explanation:
Solve for x over the real numbers:
2 x^4 - 3 x^3 - 21 x^2 - 2 x + 24 = 0
The left hand side factors into a product with four terms:
(x - 4) (x - 1) (x + 2) (2 x + 3) = 0
Split into four equations:
x - 4 = 0 or x - 1 = 0 or x + 2 = 0 or 2 x + 3 = 0
Add 4 to both sides:
x = 4 or x - 1 = 0 or x + 2 = 0 or 2 x + 3 = 0
Add 1 to both sides:
x = 4 or x = 1 or x + 2 = 0 or 2 x + 3 = 0
Subtract 2 from both sides:
x = 4 or x = 1 or x = -2 or 2 x + 3 = 0
Subtract 3 from both sides:
x = 4 or x = 1 or x = -2 or 2 x = -3
Divide both sides by 2:
Answer: x = 4 or x = 1 or x = -2 or x = -3/2
Supposing the sides with 6 and 8 is a right angle, you can create a new line from C and P, and find the length using the equation of a²+b²=c² or 6²+8²=c², with c equaling the radius of the circle.
After finding c, you will have to find the length from C to the midpoint of AC, using the same equation a²+b²=c². If both the lengths of C to the midpoint of AC, and A to the midpoint of AC are equal, you can do b+b to find the length of AC.
Using the same approach, you can find AB. Hope this makes sense, if not, I can clarify more.
Answer:
-18gh-24g
Step-by-step explanation:
The inequality is t < 55
<em><u>Solution</u></em><em><u>:</u></em>
Given that, To qualify for the championship a runner must complete the race in less than 55 minutes
Let "t" represent the time in minutes of a runner who qualifies for the championship
Here it is given that the value of t is less than 55 minutes
Therefore, "t" must be less than 55, so that the runner qualifies the championship
<em><u>This is represented by inequality:</u></em>
The above inequality means, that time taken to complete the race must be less than 55 for a runner to qualify
Hence the required inequality is t < 55
Answer:
This is quadratic trinomial
Step-by-step explanation:
It has x^2 (square) and consists of 3 parts
