Question

How do you use quadratic formula to solve `2x^2 - 5x – 10 = 0`?

Answer 1

For the general form of a quadratic
`ax^2+bx+c=0`
the quadratic formula provides solutions
`x=(-b+-sqrt(b^2-4ac))/(2a)`

For the specific quadratic
`2x^2-5x-10=0`
this formula becomes
`x=(-(-5)+-sqrt((-5)^2-4(2)(-10)))/(2(2)`

`=(5+-sqrt(105))/4`