The equation 5/2 - x + x - 5/x + 2 + 3x + 8/x^2 - 4 = 0 is a quadratic equation
The value of x is 8 or 1
<h3>How to determine the value of x?</h3>
The equation is given as:
5/2 - x + x - 5/x + 2 + 3x + 8/x^2 - 4 = 0
Rewrite as:
-5/x - 2 + x - 5/x + 2 + 3x + 8/x^2 - 4 = 0
Take the LCM
[-5(x + 2) + (x -5)(x- 2)]\[x^2 - 4 + [3x + 8]/[x^2 - 4] = 0
Expand
[-5x - 10 + x^2 - 7x + 10]/[x^2 - 4] + [3x + 8]/[x^2 - 4] = 0
Evaluate the like terms
[x^2 - 12x]/[x^2 - 4] + [3x + 8]/[x^2 - 4 = 0
Multiply through by x^2 - 4
x^2 - 12x+ 3x + 8 = 0
Evaluate the like terms
x^2 -9x + 8 = 0
Expand
x^2 -x - 8x + 8 = 0
Factorize
x(x -1) - 8(x - 1) = 0
Factor out x - 1
(x -8)(x - 1) = 0
Solve for x
x = 8 or x = 1
Hence, the value of x is 8 or 1
Read more about equations at:
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Answer:
1) 8.5x10^8
2) 5.3x10^-3
3) 9.95x10^12
Step-by-step explanation:
Since they have the same exponents, you just add or subtract and leave the rest the same.
1) 8.5x10^8
2) 5.3x10^-3
3) 9.95x10^12
To construct a perpendicular bisector, we have to draw two arcs using each of the endpoints as centers
<h3>What is a perpendicular bisector?</h3>
A perpendicular bisector is said to be a line that intersects the segment of another line perpendicularly and also divides it into two equal parts.
The properties of a perpendicular bisector include:
- It divides a line segment into two equal parts
- It makes right angles with the line segment.
- Points in the perpendicular bisector are equal from the line of the segment.
Hence, all the mentioned properties are correct except that to construct it, we have to draw two arcs using each of the endpoints as centers.
Learn more about perpendicular bisector here:
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Answer:
Step-by-step explanation:
Answer:
<u>its D</u>
Step-by-step explanation:
