30 Solving Quadratic Equations Worksheet

Analyze the nature of the roots This property states that when the product of two

x2 144 6

There are various methods through which a quadratic equation can be solved 1h - The quadratic formula - part 1; Lesson 4 Solve Quadratic Equations by Completing the Square

Solving quadratic equations worksheet. Note: There will be no ads on the worksheet I can solve by factoring x4 16 7

I can determine the appropriate domain and range of a quadratic equation or event R y Aulsl2 Krhi8gih yt5sq or1ejsfe WrUvheYdY 1

1) k2 = 76 2) k2 = 16 3) x2 = 21 x2 14x 40 4 3

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(y 3)2 = 4 5

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Factoring Method If the quadratic polynomial can be factored, the Zero Product Property may be used

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1) r2 = 96 2) x2 = 7 3) x2 = 29 4) r2 = 78 5) b2 = 34 6) x2 = 0 7) a2 + 1 = 2 8) n2 − 4 = 77 9) m2 + 7 = 6 10) x2 − 1 = 80 11) 4x2 − 6 = 74 12) 3m2 + 7 = 301 13) 7x2 − 6 = 57 14) 10x2 + 9 = 499 15) (p − 4)2 = 16 16) (2k − 1)2 = 9 Worksheet Name 1 2 3; Quadratic Equations - Basic Factorisation: 1: 2: 3: Quadratic Equations - Advanced Factorisation: 1: 2: 3: Quadratic Equations - Difference of 2 Squares : 1: 2: 3: Quadratic Equations - Completing the Square : 1: 2: 3: Quadratic Equations - Quadratic Formula : 1: 2: 3 The quadratic formula is able to solve any quadratic equation! Summary

Factoring Quadratic Equations

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Solve the quadratic equations by factoring, completing the square, quadratic formula or square root methods

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x2 11 = 0 3

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Students can practice multiple questions on finding the roots of a quadratic equation and check whether the given equation is quadratic or not

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