Mathematics Higher Level Robert Joinson

©Sumbooks2002Higher Level19. Solving Equations 2Exercise 1Solve the following equations correct to 2 decimal places each time.1) x 2 + 4x – 6 = 02) x 2 – 3x + 1 = 03) – 4x – 3 = 04) x 2 + 6x – 4 = 0x 25) x 2 + x – 1 = 06) 4x 2 – 7x – 4 = 07) 6x 2 + 3x – 1 = 08) 10x 2 + 2x – 7 = 09) 4x 2 + 5x – 10 = 010) 3x 2 – 4x – 2 = 011) 3x 2 + 4x = 512) 2x 2 + 5x = 113) 4x 2 + 3 = 7x14) 3x( 2x + 1) = 11 31 115) -- + ----------- = 716) ----------- – -----x x + 2x – 3 2x= 45 117) -- + ----------- = 718)x x + 17-----2x2+ ----------- = 4x – 119) x 2 + 7x + 2 = 2x + 420) x 2 + 13x = 4x + 521) 5x 2 – 3x = x 2 + 422) 4x 2 – 3x = 2x 2 + 723) xx ( + 4) = 3x 2 + 2x – 624) 4( x + 2) = 3x( x+1)4 2x – 32x + 3 x25) -- = --------------26) -------------- = --x x – 1x – 1 4Exercise 2In each of the following calculate the value of a and the corresponding value of k.1) 4x 2 – 20x + k = ( 2x – a) 22) ( 3x + a) 2 = 9x 2 + 12x + k3) ( 5x – a) 2 = 25x 2 – 30x + k4) x 2 – 14x + k = ( x – a) 25) ( 3x + a) 2 = 9xx ( + 1) + k6) 16xx ( + 1) + k = ( 4x + a) 27) 9x 2 – 30x + k = ( 3x – a) 28) ( 4x – a) 2 = 16x( x–4) + k9) ( 2x + a) 2 = 4x 2 + 24x + k10) 36x 2 + 48x + k = ( 6x + a) 2