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Name Date Period 4.6 HW: Solving Quadratic Inequalities For #14, match the inequality with its graph. Give reasons for your answers. 1. y x2 + 4x + 3 2. Y x2 + 4x 3 3. Y x2 4x + 3 4. Y x2 + 4x + 3
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How to fill out 46 hw solving quadratic:

01
Start by reviewing the given quadratic equation and identify its coefficients, including the values of a, b, and c.
02
Next, determine the discriminant of the quadratic equation by using the formula D = b^2 - 4ac. This will help in understanding the nature of the roots.
03
Based on the discriminant value, determine the type of roots the quadratic equation has: real and different, real and equal, or imaginary.
04
If the discriminant is greater than zero, indicating real and different roots, use the quadratic formula x = (-b ± √D) / 2a to calculate the roots.
05
In case the discriminant is equal to zero, meaning real and equal roots, apply the formula x = -b / (2a) to find the root.
06
If the discriminant is less than zero, implying imaginary roots, use the formula x = (-b ± i√|D|) / 2a, where i represents the imaginary unit.
07
Solve the quadratic equation using the obtained formulas and simplify the roots if necessary.
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Finally, double-check the solutions and ensure they satisfy the original equation.

Who needs 46 hw solving quadratic:

01
High school students learning algebra and quadratic equations.
02
College students studying mathematics or engineering-related fields.
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Individuals preparing for standardized tests such as the SAT, ACT, or GRE, which often include quadratic equation problems in their math sections.
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Solving quadratic equations involves finding the values of unknown variables that satisfy the quadratic equation.
Anyone studying or working with quadratic equations may be required to solve them.
To fill out a quadratic equation, you need to identify the coefficients, constants, and variables in the equation and apply appropriate solving methods.
The purpose of solving quadratic equations is to find the unknown values that satisfy the equation and help in solving real-life problems.
The coefficients, constants, and variables of the quadratic equation must be reported for solving it.
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