Question

Solve for v.

2v²-9v=5
If there is more than one solution, separate them with commas.
If there is no solution, click on "No solution."

Answer 1

2v² - 9v = 5

2v² - 9v - 5 = 0

2v² - ( 10 - 1 ) v - 5 = 0

2v² - 10v + v - 5 = 0

2v² - 2 × 5 v + v - 5 = 0

2v ( v - 5 ) + 1 ( v - 5 ) = 0

( v - 5 ) ( 2v + 1 ) = 0

Apply zero property ...

v - 5 = 0 or 2v + 1 = 0

`v = 5`

or ,

`v = - (1)/(2) \\`