Cube Root Of 88 Use the sum of cubes identity to find 1 x 3 1 x 1 x x 2 The sum of cubes identity may be written a 3 b 3 a b a 2 ab b 2 In our example we have a 1 and b x as follows 1 x 3 1 3 x 3 1 x 1 2 1 x x 2 1 x 1 x x 2 The remaining quadratic factor 1 x x 2 cannot be factored into simpler factors with Real coefficients but if you want a complete
We need to take the square root of both sides to get 5x 0 color blue x 0 color purple x 9 0 x 9 x 4 3 0 In this case we need to take the cube root of both sides We get color red x 4 0 x 4 Therefore the zeroes are at x 0 9 and 4 Hope this helps g x 9x 3 7x 2 10x 4 color white Descriminant The discriminant Delta of a cubic polynomial in the form ax 3 bx 2 cx d is given by the formula
Cube Root Of 88
Cube Root Of 88
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How To Simplify A Cube Root YouTube
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How To Simplify The Square Root Of 88 Sqrt 88 YouTube
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Use some standard identities to find x 6 1 x 1 x 2 x 1 x 1 x 2 x 1 Use the difference of squares identity a 2 b 2 a b a b the difference of cubes identity 0 2 or 1 5 root 3 1 125 Can be rewritten as root 3 1 root 3 125 Since 1 1 1 1 and 5 5 5 125 the fraction can be rewritten as 1 5 which is equal to 0 2
6x 4 24x 2 72x 6x x 3 4x 12 6x x x 1 x x 2 x x 3 where x 1 x 2 and x 3 are the zeros of the cubic as follows Firstly all of the terms are divisible by 6x so we can separate that out as a factor 6x 4 24x 2 72x 6x x 3 4x 12 We can factor the remaining cubic factor using Cardano s method Let x u v and solve x 3 4x 12 0 u 3 v 3 3uv 4 u v 12 0 Add the constraint v color white f x 9x 3 x 2 4x 3 color white Descriminant The discriminant Delta of a cubic polynomial in the form ax 3 bx 2 cx d is given by the formula
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Premultiply by 3 3 to cut down on arithmetic involving fractions 0 3 3 x 3 x 2 2x 1 27x 3 27x 2 54x 27 3x 1 3 15 3x 1 43 Let t 3x 1 and solve t 3 15t 43 0 Using Cardano s method let t u v u 3 v 3 3 uv 5 u v 43 0 Let v 5 u to eliminate the term in u v u 3 5 3 u 3 43 0 Multiply through by u 3 to get a quadratic in u If 1 omega omega 2 denotes the cube root of unity find the roots of x 5 3 27 0
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Square Square Root Of 88 Examples Methods Calculation
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Use the sum of cubes identity to find 1 x 3 1 x 1 x x 2 The sum of cubes identity may be written a 3 b 3 a b a 2 ab b 2 In our example we have a 1 and b x as follows 1 x 3 1 3 x 3 1 x 1 2 1 x x 2 1 x 1 x x 2 The remaining quadratic factor 1 x x 2 cannot be factored into simpler factors with Real coefficients but if you want a complete
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We need to take the square root of both sides to get 5x 0 color blue x 0 color purple x 9 0 x 9 x 4 3 0 In this case we need to take the cube root of both sides We get color red x 4 0 x 4 Therefore the zeroes are at x 0 9 and 4 Hope this helps
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