What are the roots of Quadra equation below? 2x^2+12x+11=0
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Answers
Answer:
x=-2±√14/1 is the answer
Step-by-step explanation:
2x²+12x+11=0
by using quadratic formula
x=(-b±√b²-4ac)/2a
here a=2,b=12,c=11
x={(-12)±√(12)²-4(2)(11)}/2
x=(-12±√144-88)/2
x=-12±√56/2
x=-6±2√14/2
x=-4±√14/2
x=-2±√14/1
i hope this will help you :)
Final answer:
The roots of the equation 2x^2+12x+11=0 are -1.13 and -4.87, found by substituting a, b, and c into the quadratic formula, simplifying, and solving for x.
Explanation:
The roots of the quadratic equation 2x^2+12x+11=0 can be found with the quadratic formula: x = [-b ± sqrt(b^2-4ac)] / (2a). Here, a=2, b=12, and c=11.
Substitute these into the formula to get: x = [-12 ± sqrt((12)^2 - 4*2*11)] / (2*2).
This becomes x = [-12 ± sqrt(144 - 88)] / 4.
Finally, we have x = [-12 ± sqrt(56)] / 4. The sqrt(56) can be simplified to approximately 7.48 for calculation.
Hence, the two roots of the equation are x = [-12 + 7.48] / 4 = -1.13 and x = [-12 - 7.48] / 4 = -4.87.
Learn more about Quadratic Equation Roots here:
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Related Questions
Which explanation best describes how to solve this problem? Gloria was taking photographs at a waterfall. She deleted 18 photographs. Then, during the hike from the waterfall, she took 13 more. She deleted another 9. Now Gloria has 22 photographs left. How many photographs did Gloria have to begin with? A.Guess and test. Guess that Gloria had 40 photographs to begin with. Subtract the number she deleted (18) and add the number she took (13). Then subtract the second amount she deleted (9). This gives 26. That is 4 more than 22. Add 4 to your guess. Gloria had 44 photographs to begin with. B.Draw a diagram. Draw a large circle to represent the photographs Gloria had to begin with. Add 22 dots, 18 dots, and 9 dots to the circle. Cross out 13 dots for the ones she took during the hike. Add all remaining dots to figure out that Gloria started with 36 photographs. C.Translate into an equation. 18 + 13 + 9 – 22 = b Gloria had 18 photographs to begin with. D.Work backward. Start with the number of photographs that Gloria has left (22). Add the photographs that were deleted (18 + 9). Then add photographs that she took during the hike (13). Gloria had 62 photographs to begin with.
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What is the probability that a passenger prefers to sit in front of the plane and prefers a window seat
Answers
Length, L = 14, Width = x
P = 2*(L + W)
38 = 2*(14 + x).
2*(14 + x) = 38, is the equation used to find x.
Let's go ahead and solve for x, though the question did not ask us to solve it.
14 + x = 38/2
14 + x = 19
x = 19 - 14
x = 5
Width is 5 inches.
Answer: x = 19 - 14
so 5 inch
Step-by-step explanation:
Solve this application using logarithms.
How much principal, to the nearest dollar, should you invest at 4% in order to have $3,000 for a vacation to Europe in 3 years?
Answers
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log (1 + r)^5 = log 2
5 log (1 + r) = log 2
log (1 + r) = 1/5 log 2 = log 2^(1/5)
1 + r = 2^(1/5)
r = 2^(1/5) - 1 = 1.1487 - 1 = 0.1487
Therefore, interest rate is 14.87%
3000 = P(1 + 0.04)^3
log 3000 = log P(1.04)^3
log 3000 = log P + log (1.04)^3
log P = log 3000 - log (1.04)^3
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Answers
Answer:
He will read 92 pages in an hour going by the current rate at which he reads
Step-by-step explanation:
The complete question is as follows;
Jamil found that he reads 1/5 of his 115 - page book in 1/4 of an hour. At this rate how many pages does he read in an hour
We proceed as follows;
If he reads 1/5 of 115 in 1/4 hour
1/5 of 115 pages refer to 1/5 * 115 = 23 pages
This means that he reads 23 pages in quarter of an hour
So in an hours the number of pages he will read will be 23 * 4 = 92 pages
b. False
Answers
ewidence
k - scale similarities
a,b,c = sides of the triangle
p - perimeter of a triangle
k*a + k*b + k*c = k(a+b+c) = k*p
triangles
a = 3
b = 15
c = 14
triangles 1:2
2a = 2*3 = 6
2b = 2*15 = 30
2c = 2*14 = 28
18
30
26
Answers
Explanation: because if 18/54 was equivalent to 9/(y+1) and 9 is half than 18 then (y+1) would have to be equal to half of 54 which is 27. So if y+1 equals 27 then y would have to equal 26!
Answers
Answer:
The answer is C
Step-by-step explanation:
-3+3 is 0
Answer:
C
Step-by-step explanation:
The distance between -3 and 0 can be calculated by the absolute value of the difference of the two numbers. -3-0 = -3. |-3| = 3