Question

How do you find the roots of `y=2x^2 – 9x + 55` using the quadratic formula?

Answer 1

`x_1=(9+sqrt359i)/4=2.25+4.73682i`

`x_2=(9-sqrt359i)/4=2.25-4.73682i`

Explanation:

From the given equation `y=2x^2-9x+55`

We set `y=0`
Let `a=2` and `b=-9` and `c=55`

Quadratic Formula:
`x=(-b+-sqrt(b^2-4ac))/(2a)`

`x=(--9+-sqrt((-9)^2-4(2)(55)))/(2(2))`

`x=(+9+-sqrt(81-440))/(4)`

`x=(+9+-sqrt(-359))/(4)`

`x_1=(9+sqrt359i)/4=2.25+4.73682i`

`x_2=(9-sqrt359i)/4=2.25-4.73682i`

God bless....I hope the explanation is useful.