The error made by zacharias in solving the quadratic equation 0 = -2x² + 5x - 3 using quadratic formula is; the 2 in the numerator should be –2.
<h3>Quadratic equation</h3>
There are four methods of solving quadratic equation. Namely;
- Factorization method
- Completing the square method
- Graphical method
- Formula method
0 = -2x² + 5x - 3
x = -b ± √b² - 4ac / 2a
where,
x = -b ± √b² - 4ac / 2a
x = -5 ± √5² - 4(-2)(-3) / 2(-2)
= -5 ± √25 - (24) / -2
= -5 ± √1 / -2
= -5/2 ± 1/2
= -5/2 - 1/2 or x = -5/2 + 1/2
= -5-1 / 2 or -5+1/ 2
x = -6/2 or -4/2
x = -3 or -2
Therefore, the solution to the quadratic equation is x = -3 or -2
Learn more about quadratic equation:
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Answer:
Not sure if there are options, but the order of side lengths from smallest to largest is <u>j, k, l</u>
Step-by-step explanation:
This is a bad explanation (sorry):
Side length order will be the same order of angle orders. By that, I mean the since angle C has the smallest angle, the side length across from it will also be the smallest. Since angle B is the biggest angle, side L will be the biggest length. This leaves angle A (and side k) in the middle.
Hey there!
2x + 2 = -4(x - 5)
2x + 2 = -4(x) - 4(-5)
2x + 2 = -4x + 20
ADD 4x to BOTH SIDES
2x + 2 + 4x = -4x + 20 + 4x
SIMPLIFY IT!
6x + 2 = 20
SUBTRACT 18 to BOTH SIDES
6x + 2 - 2 = 20 - 2
CANCEL out: 2 - 2 because it give you 0
KEEP: 20 - 2 because it help solve for the x-value
NEW EQUATION: 6x = 20 - 2
SIMPLIFY IT!
6x = 18
DIVIDE 6 to BOTH SIDES
6x/6 = 18/6
CANCEL out: 6/6 because it give you 1
KEE: 18/6 because it help solve for the x-value
NEW EQUATION: x = 18/6
SIMPLIFY IT!
x = 3
Therefore, your answer is: x = 3
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
Answer:D
Step-by-step explanation:
.708333... so about .71
14+23+14=51
51 divided by 72=~.71
Answer:
25 meters
Step-by-step explanation:
30 km/hr = (30 km/1 hr)*(1000 m/1 km)*(1 hr/60 min)*(1 min/60 sec)
30 km/hr = (30*1000*1*1)/(1*1*60*60) meters per second
30 km/hr = 8.3333333333 m/s (approximate)
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The speed or rate is r = 8.3333333333 meters per second approximately, and the time is t = 3 seconds, so,
distance = rate*time
d = r*t
d = 8.3333333333 * 3
d = 24.9999999999
Due to rounding error, the true answer should be d = 25. We can see this if we opted to use the fraction from of 8.3333... instead of the decimal representation which isn't a perfect exact measurement.