Question

How do you slove this?

Answer 1

1. a^2 + 7a + 10 = 0                               
    (a + 5)(a + 2) = 0
    a + 5 = 0....a = -5
    a + 2 = 0...a = -2
    solution : (-2,-5)

2. n^2 - 8n + 12 = 0
    (n - 2)(n - 6) = 0
     n - 2 = 0....n = 2
      n - 6 = 0...n = 6
     solution : (2,6)

3. y^2 - 49 = 0
     y^2 = 49
     y = sqrt 49
     y = (+-) 7
     y = 7
     y = -7
    solution : (-7,7)

4. x^2 + 5x - 6 = 0
    (x+ 6)(x - 1) = 0
     x + 6 = 0...x = -6
     x - 1 = 0...x = 1
   solution : (-1,1)

5. u^2 - 7u - 18 = 0
    (u - 9)(u + 2) = 0
    u - 9 = 0...u = 9
    u + 2 = 0....u = -2
    solution : (-2,9)

6. m^2 - 5m = 0
    m(m - 5) = 0
    m = 0
    m - 5 = 0...m = 5
   solution : (0,5)

7. 2t^2 + 5t - 3 = 0
    (2t - 1)(t + 3) = 0
    2t - 1 = 0...2t = 1...t = 1/2
    t + 3 = 0...t = -3
   solution : (1/2,-3)

8. 3w^2 -8w + 4 = 0
    (3w - 2)(w - 2) = 0
   3w - 2 = 0...3w = 2...w = 2/3
   w - 2 = 0....w = 2
   solution : (2/3,2)

9. 2x^2 -3x - 5 = 0
    (2x - 5)(x + 1) = 0
   2x - 5 = 0...2x = 5...x = 5/2
    x + 1 = 0....x = -1
   solution : (5/2,-1)

10. 5v^2 + 29v + 20 = 0
     (5v + 4)(v + 5) = 0
     5v + 4 = 0...5v = -4...v = - 4/5
     v + 5 = 0....v = -5
    solution : (-4/5,-5)

11. 6n^2 - 19n + 15 = 0
     (3n-5)(2n-3)=0
    3n-5 = 0...3n = 5...n = 5/3
    2n - 3 = 0....2n = 3...n = 3/2
    solution : (5/3,3/2)

12. 2k^2 + 7k = 0
      k(2k+7) = 0
      k = 0
      2k+7 = 0...2k = -7...k = -7/2
      solution : (0,-7/2)

13. 3b^2 + b - 10 = 0
      (3b-5)(b+2) = 0
      3b - 5 = 0....3b = 5..b = 5/3
      b + 2 = 0...b = -2
      solution :(5/3,-2)

14. 4y^2 -25 = 0
      4y^2 = 25
      y^2 = 25/4
      y = sqrt 25/4
      y = (+-) 25/4
      y = 2.5
      y = -2.5
   solution : (2.5,-2.5)