For the following exercise solve the following

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For the following exercise, solve the following polynomial equation by grouping and factoring. Make sure to find any complex solutions. 30. 42 x 3 + 30 x 2 = 21 x + 15 6 x 2 ( 7 x + 5 ) = 3 ( 7 x + 5 ) 6 x 2 ( 7 x + 5 ) 3 ( 7 x + 5 )= 0 6 x ( ¿¿ 2 3 )( 7 x + 5 ) ¿ x = 5 7 ± 1 2 For the following exercise, solve the radical equation. Be sure to check all solutions to eliminate extraneous solutions.
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A=1 B=-36 C=144 −(− 36 ) ± (− 36 ) 2 4 ( 1 )( 144 ) ¿ ¿ ¿ 36 ± 1296 576 2 36 ± 720 2 36 ± 12 5 2 x = 18 ± 6 5 Check the solution to see if it works. It does not. No solutions. For the following exercise, solve the equation involving absolute value. 32. 3 | 5 x + 6 | =− 6 5 x + 6 = 2 5 x + ¿ 4 x = 4 5 5 x + 6 =− 2 5 x =− 8 x = 8 5 x = 4 5 8 5 Copyright © 2019 by Thomas Edison State University. All rights reserved.
For the following exercise, solve the equation by identifying the quadratic form. Use a substitute variable and find all real solutions by factoring. Find all real and complex solutions. Show all work.
Real-World Applications For the following exercise, the slant height of a right circular cone is given by the formula s = r 2 + h 2 where r is the radius of the base of the cone and h is the height of the cone. 34. What is the radius of the cone if the slant height is 200 cm and the height of the cone is 150 cm? ,
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SECTION 2.7 Algebraic For the following exercise, solve the inequality. Write your final answer in interval notation. 35. 4 x + 7 7 3 x 8 5 17 35 5 ( 4 x + 7 ) 35 7 ( 3 x 8 ) 35 17 35 5 ( 4 x + 7 ) 7 ( 3 x 8 ) 17 20 x + 35 21 x + 56 17 x + 91 17 x≤ 17 91 x≤ 74 x≥ 74 For the following exercise, solve the inequality involving absolute value. Write your final answer in interval notation. 36. | 3 5 5 | > 11 | 3 5 25 5 | > 11 | 22 5 | > 11 | - 4.4 | > 11 False solution. For the following exercise, solve the compound inequality. Express your answer using inequality signs, and then write your answer using interval notation. 37. 7 x 8 > 3 x + 5 2 x 4 Copyright © 2019 by Thomas Edison State University. All rights reserved.

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