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:

$x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$

You can substitute values:

$x=\frac{-(-3)\pm\sqrt{(-3)^2-4(2)(-5)}}{2(2)}$

Hence, the answer is:

$x=\frac{-(-3)\pm\sqrt{(-3)^2-4(2)(-5)}}{2(2)}$