Question

For the equation y= 6x2 - 9x + 22, choose the correct application of the quadratic formula.

Answer 1

Answer:

The  correct application of the quadratic formula is:

               $x=\dfrac{9\pm \sqrt{(-9)^2-4(6)(22)}}{2(6)}$

Step-by-step explanation:

The quadratic equation is given by:

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

We know that the solution of the quadratic equation:

$y=ax^2+bx+c$

is given by:

$y=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}$

Here we have:

$a=6$

$b=-9$

and

$c=22$

Hence, the quadratic formula is given by:

$x=\dfrac{-(-9)\pm \sqrt{(-9)^2-4\cdot (6)\cdot (22)}}{2\cdot (6)}$

i.e.

$x=\dfrac{9\pm \sqrt{(-9)^2-4(6)(22)}}{2(6)}$

Answer 2

it’s the last option