Question

Solve this quadratic equation using the quadratic formula. 5 - 10x - 3x2 = 0

Answer 1

x = (-5 ± 2√10) / 3

Explanation:

5 − 10x − 3x² = 0

Write in standard form:

-3x² − 10x + 5 = 0

Solve with quadratic formula:

x = [ -b ± √(b² − 4ac) ] / 2a

x = [ -(-10) ± √((-10)² − 4(-3)(5)) ] / 2(-3)

x = [ 10 ± √(100 + 60) ] / -6

x = (10 ± 4√10) / -6

x = (-5 ± 2√10) / 3

Answer 2

Explanation:

`5 - 10x - 3 * 2 = 0`

`multiply \: the \: numbers \\ \\ 5 - 10 x- 6 = 0`

`collect \: like \: terms \\ \\ 5 - 6 - 10x`

`- 1 - 10x = 0`

`- 10x = 1`

`divide \: both \: sides \: of \: the \: equation \: by \: - 10`

`x = - \ (1)/(10)`

`alt \: form \: = \\ \\ = 0.1 \\ x = - 10 {}^( - 1)`

Hope this helps. :)