Question

How do you solve using the quadratic formula method `x^2 – 7x + 9 = 0`?

Answer 1

`x=7/2+-sqrt(13)/2`

Explanation:

Since the equation cannot be simplified further, let `a=1, b=-7, and c=9`.

Plugging it into the quadratic formula, which is this ↓ `(-b+-sqrt(b^2-4ac))/(2a)`.

`(-(-7)+-sqrt((-7)^2-4*1*9))/(2*1)`

`(7+-sqrt(49-36))/2`

`(7+-sqrt(13))/2`

`x=7/2+-sqrt(13)/2`