192 + Chapter 5 - Quadratic s 9. Write a quadratic equation with the given solutions. a) 0,3 o -%.4 e -3 10. The length of a rectangle is three cm less than twice the width. Find the dimensions of the rectangle if the area is 20 cm\". 12. The base of a triangle is 3 m longer than the height. Find the height, if the area of the triangle is 35 m. 14. Find x, if the shaded area is 129 cm?. x+2 11. 13. 15. Find x, if the shaded The length of a rectangle is one more than five times the width. Find the dimensions of the rectangle, if the area is 130 cm*. - - L - - - The three sides of a trou; are 30 cm wide in total the cross-sectional area i 112 cm. Find the hei of the trough. x+1 Check Your Understanding Practise 1. Factor completely. b) 562-56- 30 First remove the a) x2 - 9x + 18 common factor. 2. Factor b) 4x2 + 11x + 6 a) 372 - 1In - 4 1m c) 212- 171 + 30 d) 12x2 - x - 6 did seiphoMJed? nobsupolisbsuD s svlo2:8 ofis logbud wolf ofing sivanco valugal 3. Factor each quadratic equation. a) 5x2 - 2x - 6 b ) =12 + 5X - 6 . 1h if to me orlion MudW noumaps c) 0.1a2 -0.1a - 3 d) 0.5z2 - 5.4z + 4 4. Factor, using a difference of squares. a) 0.81x2 - 0.252 alups i b) 1.21k2 -0.01x2 ment. . () 25d2 - 4912 d) 8a2 - 1862 tos. . 3h 160 NEL . Chapter 4978-0-07-073882-95. Factor completely. a) (x + 1)2 + 2 (x + 1)-15 b) (2x - 1)2 + 16(2x - 1) + 63 Treat x + 1 as a single variable, m. Substitute m for x + 1. - 15 Factor the resulting quadratic. m2 + 2m - 15 = (- Replace m with x + 1 and simplify. c) 2(x + 2)2 + 3(x + 2)-20 d) 4(5x - 1)2- 12(5x- 1) + 5 6. Solve each equation. Note that they are already factored for you. b) (2x + 9)(x - 4) = 0 a) (x - 5) (x + 9) = 0 d) x(3x - 14) = 0 c ) ( x + 3 ) (x - 12 ) = 07. Solve each equation by factoring. Verify your answers. a) x2 -9x + 20 = 0 b ) x2 + 12x =-36 c) 3x2 + 11x = 42 d) 8x2 = 18x -9 due mol beror by e) 2x2 + 12x = 0 1) 5X2 = -5x- 18