Question

Solve the following equation using the quadratic formula x^2-8x+97=0

Answer 1

x=4±9i

Explanation:

Solve the equation for x by finding a, b, and c of the quadratic then use the qaudratic formula

Answer 2

`x=4-9i` or
`x=4+9i`

Explanation:

The given equation is

`x^2-8x+97=0`

By comparing to
`ax^2+bx+c=0`, we have a=1,b=-8 and c= 97.

The quadratic formula is;

`x=(-b\pm√(b^2-4ac) )/(2a)`

We substitute the values to obtain;

`x=(--8\pm√((-8)^2-4(1)(97)) )/(2(1))`

`x=(8\pm√(-324) )/(2)`

`x=(8\pm18i )/(2)`

`x=4\pm9i`

Therefore
`x=4-9i` or
`x=4+9i`