Using the Quadratic Equation, solve the following for X: 4X{eq}^2 {/eq} + 5X + 6 = 0

Question:

Using the Quadratic Equation, solve the following for X: 4X{eq}^2 {/eq} + 5X + 6 = 0

The quadratic equation has three options for its solution:

• Two different real roots
• Two equal real roots
• Two conjugate complex roots

This equation has a quadratic formula that defines the solutions using the coefficients of the equation:

\begin{align} x_{1,2} &= \frac { -b \pm \sqrt{b^2-4ac}}{2a} && \left[ \textrm {Second grade solutions formula} \quad ax^2+bx+c=0 \right] \\[0.3cm] \end{align}

Become a Study.com member to unlock this answer!

$$4x^2+5x+6=0$$

Solve the equation using quadratic formula:

\begin{align} 4x^2+5x+6 &=0 \\[0.3cm] x_{1,2} &= \frac...