Question

6. (09.04 LC)

For the equation y = 6x2 – 9x + 22, choose the correct application of the quadratic formula. (5 points)
X
-6+1(6)- 4(-9)(22)
2(-9)
X
6 + (6)- 4-9)(22)
21-9)
--9 +1(-99) - 4(6)(22)
X
2(6)
X
9+(-9) - 4(6)(22)
2(6)

Answer 1

Given:

The quadratic equation is

`y=6x^2-9x+22`

To find:

The correct application of the quadratic formula.

Solution:

If a quadratic equation is
`ax^2+bx+c=0`, then the quadratic formula is

`x=(-b\pm √(b^2-4ac))/(2a)`

We have,

`y=6x^2-9x+22`

Putting
`y=0`, we get

`6x^2-9x+22=0`

Here,
`a=6,b=-9,c=22`. Using the quadratic formula, we get

`x=(-(-9)\pm √((-9)^2-4(6)(22)))/(2(6))`

The correct application of the quadratic formula is
`x=(-(-9)\pm √((-9)^2-4(6)(22)))/(2(6))`.

Note: The options are not in proper format.