Solve for n: 2n² - 4n + 7 = 34, n > 1 | Example and Explanation

  • Thread starter ptex
  • Start date
In summary, the equation 2n² - 4n + 7 = 34 is used to solve for the value of n in a given quadratic equation and find the x-intercepts of a parabola. To solve for n, you can rearrange the equation and use the quadratic formula or factor the equation. When the equation specifies n > 1, it means that the solution for n must be greater than 1. This equation can be solved using the quadratic formula or by factoring, but the quadratic formula is a more reliable method. This equation can have up to two solutions for n because it is a quadratic equation with a degree of 2.
  • #1
ptex
42
0
Code:
a[sub]n[/sub] = 2n[sup]2[/sup] - 4n + 7 
n>1
  -
4
Ea[sub]i[/sub] 5+7+13+9=34
i=1

a[sub]4[/sub] = 2(4)[sup]2[/sup] - 4(4) + 7 = 32 - 23 = 9
34?
 
Last edited:
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  • #2
Check your a4.. 7 is added, not substracted.
 
  • #3
Code:
How about this
a[sub]n[/sub] = 2n[sup]2[/sup] - 4n + 7 
n>1
  -
4
Ea[sub]i[/sub] 5+7+13+23=48
i=1

a[sub]4[/sub] = 2(4)[sup]2[/sup] - 4(4) + 7 = 32 - 16 + 7 = 23
48?
 
  • #4
How about this one;
Y={2,5} C={1,2}
List the elements of [C], the equivalence class containg C
{1}{2}{1,5}{1,2,5}

The example in my book is the same question but Y={3,4} and C={1,3}
and the solution is {1}{1,3}{1,4}{1,3,4}
 
  • #5
Is 48 correct for the first one?
 

1. What is the equation 2n² - 4n + 7 = 34 used for?

The equation 2n² - 4n + 7 = 34 is used to solve for the value of n in a given quadratic equation. It can also be used to find the x-intercepts of a parabola.

2. How do you solve for n in the equation 2n² - 4n + 7 = 34?

To solve for n, you must first rearrange the equation to the standard form of a quadratic equation, which is ax² + bx + c = 0. Then, you can use the quadratic formula or factor the equation to find the value(s) of n.

3. What does it mean when the equation specifies n > 1?

When the equation specifies n > 1, it means that the solution for n must be greater than 1. This is a restriction placed on the possible values for n in order to make the equation meaningful.

4. Can this equation be solved without using the quadratic formula?

Yes, this equation can also be solved by factoring. However, the quadratic formula is a more reliable method that can be used for any quadratic equation, regardless of its complexity.

5. Can this equation have more than one solution for n?

Yes, this equation can have up to two solutions for n. This is because it is a quadratic equation, which means it has a degree of 2 and can have a maximum of two roots.

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