Welcome to WildDream Art!

An original art site and communication platform about animal, anthro and fantasy creature for all ages

App Download

Log in or Register

Solving more quadratic equations part four



0 user (users) favorited this work
  • View Count:322
  • Rating:General - Intended for all ages.
  • Publish Time:2021-12-01 09:39

Solving more quadratic equations part four



Solve 10x² - 19x + 6 = 0 for x.

First method

10x² - 19x + 6 = 0

(2x - 3)(5x - 2) = 0

x = 3 / 2; 2 / 5

 

Second method

10x² - 19x + 6 = 0

400x² - 760x + 240 = 0

400x² - 760x + 361 = 121

(20x - 19)² = 121

20x - 19 = ±11

20x = 19 ± 11

x = (19 ± 11) / 20

x = 3 / 2; 2 / 5

 

Third method

10x² - 19x + 6 = 0

a = 10, b = -19 and c = 6

b² - 4ac = 121

x = (19 ± √121) / 20

x = (19 ± 11) / 20

x = 3 / 2; 2 / 5

 

Solve 10x² - 21x + 9 = 0 for x.

First method

10x² - 21x + 9 = 0

(2x - 3)(5x - 3) = 0

x = 3 / 2; 3 / 5

 

Second method

10x² - 21x + 9 = 0

400x² - 840x + 360 = 0

400x² - 840x + 441 = 81

(20x - 21)² = 81

20x - 21 = ±9

20x = 21 ± 9

x = (21 ± 9) / 20

x = 3 / 2; 3 / 5

 

Third method

10x² - 21x + 9 = 0

a = 10, b = -21 and c = 9

b² - 4ac = 81

x = (21 ± √81) / 20

x = (21 ± 9) / 20

x = 3 / 2; 3 / 5

 

Solve 15x² - 31x + 10 = 0 for x.

First method

15x² - 31x + 10 = 0

(3x - 5)(5x - 2) = 0

x = 5 / 3; 2 / 5

 

Second method

15x² - 31x + 10 = 0

900x² - 1,860x + 600 = 0

900x² - 1,860x + 961 = 361

(30x - 31)² = 361

30x - 31 = ±19

30x = 31 ± 19

x = (31 ± 19) / 30

x = 5 / 3; 2 / 5

 

Third method

15x² - 31x + 10 = 0

a = 15, b = -31 and c = 10

b² - 4ac = 361

x = (31 ± √361) / 30

x = (31 ± 19) / 30

x = 5 / 3; 2 / 5


Comment

Please log in before comment
0 user (users) favorited this work
  • View Count:322
  • Rating:General - Intended for all ages.
  • Publish Time:2021-12-01 09:39