Solving Quadratic Equations Using Square Roots Worksheet Solving Quadratic Equations with Square Roots Date Period Solve each equation by taking square roots 1 k2 76 8 717 8 717 2 k2 16 4 4 3 x2 21 4 582 4 582 4 a2 4 2 2 5 x2 8 28 4 472 4 472 6 2n2 144 No solution 7 6m2 414 8 306 8 306 8 7x2 21 No solution
IMC Practice Worksheet Name Date Solving Quadratic Equations by Square Roots Solve the equation by square roots Remember 1 x2 324 22 2 x 81 0 3 5x 180 0 4 23x 100 332 2 5 x2 8 16 6 189 x 5 5 Quadratic Equations w Square Roots Solve each equation by taking square roots 1 k 2 6 6 0 3 n 2 4 40 6 6 5 9 2 r 3 152 i 149 i 149
Solving Quadratic Equations Using Square Roots Worksheet
Solving Quadratic Equations Using Square Roots Worksheet
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Square Root Examples
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Linear Quadratic Systems Worksheet 1
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Solving Quadratics Square Roots Imaginary Solutions Solve each equation by taking square roots 1 9 8 x2 209 5 5 2 7r2 8 281 6 245 6 245 3 25m2 8 7 0 2 0 2 4 2n2 5 35 i 15 i 15 5 5x2 3 8 i i 6 10b2 10 Finding the root of a quadratic equation can be done by extracting the square root of the form ax2 177 c 0 Square Root Property If x2 a and a is an integer then x a It is important to remember that we can only use this property if the numerical coefficient of the variable x is 1 Example 1 s of th llowing quadrat x2 36
25 26 9 9 5 5 27 28 8 544 8 544 4 69 4 69 Create your own worksheets like this one with Infinite Algebra 1 Follow this guide to learn how to solve quadratic equations using the square root method Isolate all x 2 terms on one side and take the of both sides to calculate x
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Solving Quadratic Equations Worksheet Solve each equation by using the square root property x2 49 x2 11 0 y2 20 Solving Quadratic Equations Using All Methods Solve each equation by factoring 1 x2 8x 16 0 3 x2 49 0 5 5k2 9k 18 4k2 7 3a2 11a 6 9 5k2 28 27k Solve each equation by taking square roots 11 8 5n2 88
Square root is applied This is because when you square 3 or 3 you obtain 9 for the result Here is a summary of this method Solving Quadratic Equations using the Root Method 1 Isolate the squared term 2 Take the square root of both sides remember to use 177 3 Solve How to solve a quadratic equation using the square root property Isolate the quadratic term and make its coefficient one Use Square Root Property Simplify the radical Check the solutions
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Solving Quadratic Equations Using Square Roots Worksheet - Solving Quadratics Square Roots Imaginary Solutions Solve each equation by taking square roots 1 9 8 x2 209 5 5 2 7r2 8 281 6 245 6 245 3 25m2 8 7 0 2 0 2 4 2n2 5 35 i 15 i 15 5 5x2 3 8 i i 6 10b2 10