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Algebra 2 Unit 4 Review ProblemsName: Block: Date: Algebra 2 Unit 4 Review ProblemsName: Block: Date: Factoring and solving by factoring p. 255256×314, 1538 p. 263 ×349 p. 265 ×712 p. 319 ×1520
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To fill out solving quadratic equations by, follow these steps:
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Identify the quadratic equation in the form of ax^2 + bx + c = 0.
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Make sure the equation is set equal to zero. If not, move all terms to one side of the equation.
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Determine the values of coefficients a, b, and c.
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Use the quadratic formula: x = (-b ± √(b^2 - 4ac)) / (2a).
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Substitute the values of a, b, and c into the quadratic formula.
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Simplify and evaluate the equation to find the solutions for x.
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Solve for x by taking the square root of the discriminant, which is the value under the square root symbol in the quadratic formula.
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Determine the nature of the solutions based on the discriminant:
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- If the discriminant is positive, there are two distinct real solutions.
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- If the discriminant is zero, there is one real solution.
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- If the discriminant is negative, there are two complex solutions.
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Write down the solutions for x.
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Verify the solutions by substituting them back into the original equation to ensure they satisfy the equation.

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Solving quadratic equations involves finding the values of the variable that make the equation true.
Students studying algebra or mathematics are typically required to solve quadratic equations.
To fill out solving quadratic equations, you need to follow the steps involved in solving quadratic equations such as factoring, using the quadratic formula, or completing the square.
The purpose of solving quadratic equations is to find the values of the variable that satisfy the equation and help solve real-world problems.
The solutions to the quadratic equation must be reported when solving quadratic equations.
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