2.5.0: Quadratic Equations (Exercises)
For the following exercises, solve the quadratic equation by factoring.
40. \(2 x^{2}-7 x-4=0\)
41. \(3 x^{2}+18 x+15=0\)
42. \(25 x^{2}-9=0\)
43. \(7 x^{2}-9 x=0\)
For the following exercises, solve the quadratic equation by using the square-root property.
44. \(x^{2}=49\)
45. \((x-4)^{2}=36\)
For the following exercises, solve the quadratic equation by completing the square.
46. \(x^{2}+8 x-5=0\)
47. \(4 x^{2}+2 x-1=0\)
For the following exercises, solve the quadratic equation by using the quadratic formula. If the solutions are not real, state No real solution.
48. \(2 x^{2}-5 x+1=0\)
49. \(15 x^{2}-x-2=0\)
For the following exercises, solve the quadratic equation by the method of your choice.
50. \((x-2)^{2}=16\)
51. \(x^{2}=10 x+3\)