The solution to the quadratic equation 2x² - 4x - 3 = 0 is x = 1 ± √2.5
<h3>What is an
equation?</h3>
An equation is an expression that shows the relationship between two or more numbers and variables.
Solving the polynomial using completing the square:
2x² - 4x - 3 = 0
First divide through by 2:
x² - 2x - 3/2 = 0
add 3/2 to both sides:
x² - 2x - 3/2 + 3/2 = 0 + 3/2
x² - 2x = 3/2
add the square of half the coefficient x to both sides:
x² - 2x + 1 = 3/2 + 1
(x - 1)² = 2.5
taking square root:
x - 1 = ±√2.5
x = 1 ± √2.5
The solution to the quadratic equation 2x² - 4x - 3 = 0 is x = 1 ± √2.5
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Answer: You basically have to 2xlw+2wh+2lh which means
2 multiplied by the length and width + 2 x the width and the height+ 2 x the length and height
Example:
l= 2
w=5
h=4
2x2x5+2x5x4+2x2x4
I hope this helps
Simplify -5x + 12 - 7x to -12x + 12
-12x + 12 = -3(5x + 8)
Expand
-12x + 12 = -15x - 24
Add 15x to both sides
-12x + 12 + 15x = -24
Simplify 12x + 12 + 15x to 3x + 12
3x + 12 = -24
Subtract 12 from both sides
3x = -24 - 12
Simplify -24 - 12 to -36
3x = -36
Divide both sides by 3
x = -36/3
Simplify 36/3 to 12
<u>x = -12</u>
Answer:
- Equal midpoints of AC and BC.
- The product of the slopes of the diagonals AC and DB is -1.
Step-by-step explanation:
1. Plot the given points, as you can see in the graph attached.
2. Calculate the midpoint of AC and DB:
Therefore, the midpoint of AC and DB are equal.
3. Calculte the slope of the diagonals AC and DB:
4. Multiply the slopes of the diagonals:
(AC and DB are perpendicular)
Answer:
x = 3
Step-by-step explanation:
5^5x = (5³)^x+2
5^5x = 5^3x+6
5x = 3x + 6
2x = 6
x = 3
