Need Help Solving x^2-x-4=0? Get Assistance Here!

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In summary, a user is seeking help with solving the equation x^2-x-4=0. The user is asked to provide their progress or thoughts on the problem, and it is suggested that they use the quadratic formula or complete the square method to solve it. The user admits to not knowing the quadratic formula and is directed to resources for help.
  • #1
MrHexG
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Hi,

I am having trouble solving the following equation:

\(\displaystyle x^2-x-4=0\)

I would really appreciate it if anyone could help.
 
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  • #2
Hello and welcome to MHB, MrHexG! (Wave)

We ask that our users show their progress (work thus far or thoughts on how to begin) when posting questions. This way our helpers can see where you are stuck or may be going astray and will be able to post the best help possible without potentially making a suggestion which you have already tried, which would waste your time and that of the helper.

Can you post what you have done so far?
 
  • #4
Nope
 

1. How do you solve the equation x^2-x-4=0?

To solve this equation, you can use the quadratic formula: x = (-b ± √(b^2-4ac)) / 2a. Plug in the values for a, b, and c from the given equation to find the two possible solutions for x.

2. What is the quadratic formula?

The quadratic formula is a mathematical formula used to solve quadratic equations of the form ax^2+bx+c=0. It is x = (-b ± √(b^2-4ac)) / 2a, where a, b, and c are the coefficients of the quadratic equation.

3. What are the steps for solving a quadratic equation?

1. Write the equation in standard form: ax^2+bx+c=0.

2. Identify the values for a, b, and c.

3. Plug in the values into the quadratic formula: x = (-b ± √(b^2-4ac)) / 2a.

4. Simplify the equation using basic arithmetic operations.

5. Solve for the two possible values of x.

4. Can you solve a quadratic equation without using the quadratic formula?

Yes, there are other methods for solving quadratic equations such as factoring, completing the square, or using the quadratic formula. However, the quadratic formula is usually the most straightforward and reliable method for solving any quadratic equation.

5. How do you know if a quadratic equation has real solutions?

A quadratic equation will have real solutions if the discriminant (b^2-4ac) is greater than or equal to zero. If the discriminant is negative, the equation will have imaginary solutions. If the discriminant is zero, the equation will have one real solution.

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