8 7 skills practice solving quadratic systems


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(Lesson 8-8) F (4 - n2)(4 + n2) H (2 - n)(2 + n)(n2 + 4) G (n + 2)(n - 2)(4 + n2 Skills Practice Solving Quadratic Equations by Using the Quadratic 

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8-5 Skills Practice DATE PERIOD Quadratic Equations: Differences of Squares Solve each equation by factoring Check your solutions 16 4y² = 81 == 17 64p² 

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Skills Practice Expressions and Formulas NAME DATE ______ PERIOD Solving Quadratic Systems NAME 

PDF Types of Solutions Produced By a Linear and Quadratic System

Types of Solutions Produced By a Linear and Quadratic System 2 Example 1: y = x² -2x-3 -6 -5 -4 -3 -2 Solution 00 8

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Skills Practice Completing the Square Solve each equation by using the Square Root Property 1 x² -8x+16=1 2 x² + 4x + 4 = 1 3 x² + 12x + 36 = 25 4

  • How do you complete a square?

    Study summary

    1Move the constant to the right side of the equation.
    2) Divide both sides by the constant.
    3) To complete the square, add or subtract the same value to both sides.
    4) Factor the expression on the left side of the equation.
    5) Calculate the sum or difference on the right side of the equation.
    6) Solve the equation.

  • What are the strategies for solving quadratics?

    There are three basic methods for solving quadratic equations: factoring, using the quadratic formula, and completing the square.
    To solve a quadratic equation by factoring, Put all terms on one side of the equal sign, leaving zero on the other side.

  • For a quadratic equation ax2 + bx + c = 0, The roots are calculated using the formula, x = (-b ± √ (b2 - 4ac) )/2a.

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