Calculus I with Precalculus by Ron Larson

By Ron Larson

CALCULUS I WITH PRECALCULUS, brings you up to the mark algebraically inside of precalculus and transition into calculus. The Larson Calculus software has been commonly praised by way of a iteration of scholars and professors for its sturdy and potent pedagogy that addresses the wishes of a vast diversity of training and studying kinds and environments. each one name is only one part in a complete calculus path software that conscientiously integrates and coordinates print, media, and expertise items for winning instructing and studying. One basic goal guided the authors in scripting this e-book: to boost specified, readable fabrics for college students that basically outline and exhibit ideas and principles of calculus.

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Solution 8x2 Ϫ 24x ϩ 18 ϭ 0 4x2 Ϫ 12x ϩ 9 ϭ 0 Write original equation. Divide out common factor of 2. xϭ Ϫb ± Ίb2 Ϫ 4ac 2a Quadratic Formula xϭ Ϫ ͑Ϫ12͒ ± Ί͑Ϫ12͒2 Ϫ 4͑4͒͑9͒ 2͑4͒ b ϭ Ϫ12, and c ϭ 9. xϭ 12 ± Ί0 3 ϭ 8 2 Substitute a ϭ 4, Simplify. This quadratic equation has only one solution: x ϭ 32. Check this in the original equation as shown below. Check 8x2 Ϫ 24x ϩ 18 ϭ 0 3 2 3 ? 8 Ϫ 24 ϩ 18 ϭ 0 2 2 18 Ϫ 36 ϩ 18 ϭ 0 ΂΃ ΂΃ Write original equation. 3 Substitute 2 for x. Solution checks. ✓ ■ Copyright 2011 Cengage Learning.

72. 74. 76. x2 ϩ 6x ϩ 2 ϭ 0 x 2 ϩ 8x ϩ 14 ϭ 0 9x 2 Ϫ 12x ϭ 14 4x 2 Ϫ 4x Ϫ 99 ϭ 0 3x2 ϩ 9x ϩ 5 ϭ 0 Copyright 2011 Cengage Learning. All Rights Reserved. May not be copied, scanned, or duplicated, in whole or in part. Due to electronic rights, some third party content may be suppressed from the eBook and/or eChapter(s). Editorial review has deemed that any suppressed content does not materially affect the overall learning experience. Cengage Learning reserves the right to remove additional content at any time if subsequent rights restrictions require it.

X Ϫ 3͒2 ϭ 7 x Ϫ 3 ϭ ± Ί7 x ϭ 3 ± Ί7 Write original equation. Extract square roots. Add 3 to each side. The solutions are x ϭ 3 ± Ί7. Check these in the original equation. ■ Copyright 2011 Cengage Learning. All Rights Reserved. May not be copied, scanned, or duplicated, in whole or in part. Due to electronic rights, some third party content may be suppressed from the eBook and/or eChapter(s). Editorial review has deemed that any suppressed content does not materially affect the overall learning experience.

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