Explanation Given: The equation 4 2 x 2 + 3 x − 9 + 2 2 x 2 − x − 3 = 3 x 2 + 4 x + 3 . Explanation: Calculate the factors of 2 x 2 + 3 x − 9 . Use x = − b ± b 2 − 4 a c 2 a . Here, a = 2 , b = 3 , and c = − 9 . x = − ( 3 ) ± ( 3 ) 2 − ( 4 ) ( 2 ) ( − 9 ) 2 ( 2 ) = − 3 ± 9 + 72 4 = − 3 ± 81 4 = − 3 + 9 4 , − 3 − 9 4 = 6 4 , − 12 4 = 3 2 , − 3 Thus, we can write 2 x 2 + 3 x − 9 = ( x − 3 2 ) ( x − ( − 3 ) ) = ( 2 x − 3 ) ( x + 3 ) . Calculate the factors of 2 x 2 − x − 3 . Use x = − b ± b 2 − 4 a c 2 a . Here, a = 2 , b = − 1 , and c = − 3 . x = − ( − 1 ) ± ( − 1 ) 2 − ( 4 ) ( 2 ) ( − 3 ) 2 ( 2 ) = 1 ± 1 + 24 4 = 1 ± 25 4 = 1 + 5 4 , 1 − 5 4 = 6 4 , − 4 4 = 3 2 , − 1 Thus, we can write 2 x 2 − x − 3 = ( x − 3 2 ) ( x − ( − 1 ) ) = ( 2 x − 3 ) ( x + 1 )

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ISBN: 9780321979438

Author: Margaret L. Lial, Raymond N. Greenwell, Nathan P. Ritchey

Publisher: PEARSON

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Chapter R.4, Problem 37E

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The solution for the equation 42x2+3x−9+22x2−x−3=3x2+4x+3.

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Chapter R.4, Problem 36E

Chapter R.5, Problem 1E

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The solution for the equation 4 2 x 2 + 3 x − 9 + 2 2 x 2 − x − 3 = 3 x 2 + 4 x + 3 .

Solution Summary: The author calculates the factors of 2x2+3x-9 using x=-bpm sqrtb

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The solution for the equation 42x2+3x−9+22x2−x−3=3x2+4x+3.

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