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katovenus [111]
3 years ago
12

What are the two solutions of 2x^2 = -X^2 - 5x - 1?

Mathematics
1 answer:
Sidana [21]3 years ago
6 0

Answer:

Step-by-step explanation:

Let's solve 2x^2 = -X^2 - 5x - 1.  Consolidate all terms on the left side and write 0 on the right side:

3x^2 + 5x + 1 = 0.  This is a quadratic equation.  Let's solve it for x using the quadratic formula:

a = 3, b = 5, c = 1, and so the discriminant is b^2 - 4ac = 5^2 - 4(3)(1) = 13.  Because the discriminant is positive, we know that there are two distinct, real roots; the graphs of y = 2x^2 and y = x^2 - 5x - 1 intersect in two places whose x-coordinates are the real roots mentioned above.

Answer A is not correct as stated, but would be correct if we were to replace "the y-coordinates" with "the x-coordinates."  

Answer C would be correct if and only if we write y = x^2 - 5x - 1.

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Need help homies, no steps needed
VashaNatasha [74]

Answer:

12 have a good day

Step-by-step explanation:

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3 years ago
There were three quizzes for the week. The first quiz was worth twice as much as the second quiz. The third quiz was 10 points l
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3 years ago
Round off 0.043 to one significant figure
aniked [119]
Hey there :)

0.043
The first 0 before the decimal point is not significant since it is used for cosmetic purpose
The 0 after the decimal is not significant as the 0 is used to locate the decimal point
The 4 is the first nonzero integer and it counts as a significant figure

Therefore, 0.04 will be your answer rounded to 1 s.f
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3 years ago
Read 2 more answers
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yulyashka [42]

Answer:

Step-by-step explanation:

(27)^2/3=∛27²=∛3³*3³=3*3=9

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4 0
3 years ago
If 2x+4 = (x²)²÷2 then what is x?
Leviafan [203]

Answer:

Below.

Step-by-step explanation:

2x+4 = (x²)²÷2

2x + 4 = x^4/2

x^4 = 4x + 8

x^4 - 4x - 8 = 0

We can try trial an error to solve this

Looks like x = 2 fits it:

2^4 - 4(2) - 8

= 16 -8 -8 = 0

so x = 2 is one solution.

I can't find any other solution among other integers.

To find the other solutions you can draw a graph manually or by using software.

There will be either 1 or 3 more real solutions.

I used software to draw the graph and found one other solution:

x = -1.296

8 0
2 years ago
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