The approximate solution of the above equation is: 55/15 (Option A). This is solved using the quartic formula, not quadratic equation.
<h3>
What is the Quartic Formula?</h3>
The quartic formula has up to four various solutions including real and imaginary numbers. Read on for more explanation.
<h3>
What is the solution to the above question?</h3>
First we restate the above equation:
x²-3x+2= √(x-2) + 2
Next we remove square roots
- 6x³ + 9x² = x - 2
Add two to both sides
→
- 6x³ + 9x²+2 = x - 2 +2
→
- 6x³ + 9x²+2 = x
Subtract X from both sides
→
- 6x³ + 9x²+2 -x = x -x
→
- 6x³ + 9x²+2 - x= 0
Using the Quartic formula to solve the fourth order equation:
a
+ bx³ + cx² + dx + e
The resolution of x is given as:
x = 2.691085, 3.346753
Because the fraction nearest to 3.4 is 55/16
hence, the correct answer is Option A.
Learn more about quadratic equations at;
brainly.com/question/25841119
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Answer:
<u>4 hours</u>
Step-by-step explanation:
Equations :
Larry : <u>y = 20x + 90</u>
Barry : <u>y = 30x + 50</u>
Equate both to find the number of hours at which they both charge the same :
- 20x + 90 = 30x + 50
- 30x - 20x = 90 - 50
- 10x = 40
- x = <u>4 hours</u>
A=LW, we are told that the dimensions are 42 and 48 so:
A=42*48
A=2016in^2
Given:
A bird was sitting 16 feet from the base of an oak tree and flew 20 feet to reach the top of the tree.
To find:
The length of the tree.
Solution:
A bird was sitting 16 feet from the base of an oak tree.
Vertical distance between bird and base = 16 feet
Then the bird flew 20 feet to reach the top of the tree.
Now, the vertical distance between bird and base = (16+20) feet
So, length of the oak tree is it the sum of 16 feet and 20 feet.
feet
feet
Therefore, the length of the oak tree is 36 feet.