Question

2x²-1 =3x+4Which equation correctly applies the quadratic formula?OAO B.O C.O D.x=X =x=-(-3) ± √(-3)² - 4(2)(-5)2-(-3) ± √(-3)² - 4(-5)(2)-(-3) ± √(-3)²(2)(-5)(2)-(-3) ± √(-3)² - 4(2)(-5)2(2)

Answer 1

Given the Quadratic Equation:

`2x^2-1=3x+4`

You can rewrite it in this form:

`ax^2+bx+c=0`

In order to do that, you need to subtract the terms on the right side of the equation from both sides:

`2x^2-1-(3x)-(4)=3x+4-(3x)-(4)`
`2x^2-3x-5=0`

Notice that:

`\begin{gathered} a=2 \\ b=-3 \\ c=-5 \end{gathered}`

Knowing that the Quadratic Formula is:

`x=(-b\pm√(b^2-4ac))/(2a)`

You can substitute values:

`x=(-(-3)\pm√((-3)^2-4(2)(-5)))/(2(2))`

Hence, the answer is:

`x=(-(-3)\pm√((-3)^2-4(2)(-5)))/(2(2))`