We have43x2+5x-23=0⇒x=-5±52-443-23243 using quadratic formula⇒x=-5±25+9683⇒x=-5±1183⇒x=-5+1183 or x=-5-1183⇒x=343 or x=-1683⇒x=343 or x=-23⇒x=343×33 or x=-23×33⇒x=34 or x=-233

Ques. No. 39

Ques. No. 39 X+1 2 3X-1' 3 4 29 34. X+l 4X—1 2 3 23 X+1 20-2) 5X 36. 3NGx2 + 25x - IOUS = O 38. + 5x - 20 = o 40. = 0 41. 3x2 - 2C6x +2 = O 3 1 4 -1,2 35. 37. 39. 42. 43. x2 — 4éx + 6 = m x2 + = 1 — 2x n m x—a x —b a

We have 4 \sqrt{3} x^{2} + 5 x - 2 \sqrt{3} = 0 \Rightarrow x = \frac{- 5 \pm \sqrt{5^{2} - 4 (4 \sqrt{3}) (- 2 \sqrt{3})}}{2 (4 \sqrt{3})} (using quadratic formula) \Rightarrow x = \frac{- 5 \pm \sqrt{25 + 96}}{8 \sqrt{3}} \Rightarrow x = \frac{- 5 \pm 11}{8 \sqrt{3}} \Rightarrow x = \frac{- 5 + 11}{8 \sqrt{3}} or x = \frac{- 5 - 11}{8 \sqrt{3}} \Rightarrow x = \frac{3}{4 \sqrt{3}} or x = \frac{- 16}{8 \sqrt{3}} \Rightarrow x = \frac{3}{4 \sqrt{3}} or x = \frac{- 2}{\sqrt{3}} \Rightarrow x = \frac{3}{4 \sqrt{3}} \times \frac{\sqrt{3}}{\sqrt{3}} or x = \frac{- 2}{\sqrt{3}} \times \frac{\sqrt{3}}{\sqrt{3}} \Rightarrow x = \frac{\sqrt{3}}{4} or x = \frac{- 2 \sqrt{3}}{3}

View Full Answer

Ques. No. 39 Ques. No. 39 X+1 2 3X-1' 3 4 29 34. X+l 4X—1 2 3 23 X+1 20-2) 5X 36. 3NGx2 + 25x - IOUS = O 38. + 5x - 20 = o 40. = 0 41. 3x2 - 2C6x +2 = O 3 1 4 -1,2 35. 37. 39. 42. 43. x2 — 4éx + 6 = m x2 + = 1 — 2x n m x—a x —b a

Ques. No. 39

Ques. No. 39 X+1 2 3X-1' 3 4 29 34. X+l 4X—1 2 3 23 X+1 20-2) 5X 36. 3NGx2 + 25x - IOUS = O 38. + 5x - 20 = o 40. = 0 41. 3x2 - 2C6x +2 = O 3 1 4 -1,2 35. 37. 39. 42. 43. x2 — 4éx + 6 = m x2 + = 1 — 2x n m x—a x —b a