Question

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

Answer 1

Step-by-step explanation:

$5 - 10x - 3 \times 2 = 0$

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

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

$- 1 - 10x = 0$

$- 10x = 1$

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

$x = - \ \frac{1}{10}$

$alt \: form \: = \\ \\ = 0.1 \\ x = - 10 {}^{ - 1}$

Hope this helps. :)

Answer 2

Answer:

x = (-5 ± 2√10) / 3

Step-by-step 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