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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.
J
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^2-8x-20=0 ⇕ 1x^2+( - 8)x+( - 20)=0 We see that a= 1, b= - 8, and c= - 20. 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= 8± 122. Let's separate them into the positive and negative cases.
| x=8± 12/2 | |
|---|---|
| x_1=8+12/2 | x_2=8-12/2 |
| x_1=20/2 | x_2=- 4/2 |
| x_1=10 | x_2=- 2 |
Using the Quadratic Formula, we found that the solutions of the given equation are x_1=10 and x_2=- 2. Therefore, the answer is J.