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Name: Date: 1. Use the quadratic formula to solve x 2 14 x + 38 0. A× x 7 11 B× x 4 11 C× x 7 11 D× x 4 11 E× x 72 11 2. Find real numbers a and b such that the equation a + b i 20 + 3 I is true.
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Instructions for filling out and using the quadratic formula:

01
Identify the quadratic equation: Before using the quadratic formula, you need to have a quadratic equation in the form of ax^2 + bx + c = 0. Make sure that the equation you have is in this format.
02
Understand the variables: In the quadratic formula, there are three variables: a, b, and c. "a" represents the coefficient of x^2, "b" represents the coefficient of x, and "c" represents the constant term.
03
Plug in the values: Once you have the quadratic equation in the correct format and understand the variables, you can start plugging in the values. Take the values of a, b, and c from your equation and substitute them into the quadratic formula.
04
Simplify the formula: Once you have plugged in the values, simplify the formula by performing the necessary operations (addition, subtraction, multiplication, etc.). This will help you arrive at a simplified expression.
05
Solve for x: Now that you have simplified the formula, you can solve for x. Follow the order of operations (PEMDAS/BODMAS) to solve any remaining calculations and simplify the equation further.
06
Get the solutions: You should now have the values for x that satisfy the quadratic equation. These are the solutions to the equation. Write them down as your final answer.
07
Who needs to use the quadratic formula: The quadratic formula is primarily used in mathematics and is particularly important in solving quadratic equations. Students studying algebra, calculus, or any other field where quadratic equations are encountered will need to use the quadratic formula. Additionally, professionals in fields such as engineering, physics, and finance may also need to use the quadratic formula in various applications and problem-solving situations.
Remember, practice makes perfect when it comes to understanding and effectively using the quadratic formula. With time and practice, you will become more comfortable with the process.
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The quadratic formula is a mathematical formula used to solve quadratic equations of the form ax^2 + bx + c = 0.
Anyone studying or working in the field of mathematics may use the quadratic formula.
To use the quadratic formula, substitute the values of a, b, and c from the quadratic equation into the formula and solve for x.
The purpose of the quadratic formula is to find the roots or solutions of a quadratic equation.
The values of a, b, and c from the quadratic equation must be provided to use the quadratic formula.
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