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Make sure you write all the terms on the left-hand side of the equation and simplify as much as possible before using the Quadratic Formula.
- 3, 4
We will use the Quadratic Formula to solve the given quadratic equation.
ax^2+ bx+ c=0 ⇕ x=- b± sqrt(b^2-4 a c)/2 a
Let's start by rewriting the equation so all of the terms are on the left-hand side and then simplify as much as possible.
Now, we can identify the values of a, b, and c. x^2-x-12=0 ⇕ 1x^2+( - 1)x+( - 12)=0 We see that a= 1, b= - 1, and c= - 12. Let's substitute these values into the Quadratic Formula.
Substitute values
- (- a)=a
Calculate power
Identity Property of Multiplication
- a(- b)=a* b
Add terms
Calculate root
The solutions for this equation are x= 1± 72. Let's separate them into the negative and positive cases.
| x=1± 7/2 | |
|---|---|
| x_1=1-7/2 | x_2=1+7/2 |
| x_1=- 6/2 | x_2=8/2 |
| x_1=- 3 | x_2=4 |
Using the Quadratic Formula, we found that the solutions of the given equation are x_1=- 3 and x_2=4.