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

Quadratic Equation:

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:

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

Answer and Explanation: 1

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Given quadratic equation:

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

Solve the equation using quadratic formula:

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

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Solving Quadratic Equations by Substitution

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Chapter 4 / Lesson 6
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In mathematics, the substitution method provides a process to solve an equation by substituting known values from a second equation. Learn how to do this by solving super quadratic equations by substitution, explore the process for making the substitution and solving by substitution, and practice your understanding by reviewing examples.


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