-(x%2B4)%3D0-quadratic-equation-in-standard-form.jpeg "(x+3) (x+4)=0 Quadratic Equation In Standard Form")
(x+3)(x+4)=0: A Quadratic Equation in Standard Form
In algebra, a quadratic equation is a polynomial equation of degree two, which means the highest power of the variable (in this case, x) is two. The standard form of a quadratic equation is usually written as:
ax^2 + bx + c = 0
where a, b, and c are constants, and x is the variable. In this article, we will explore a specific quadratic equation in standard form: (x+3)(x+4)=0.
Factoring the Equation
The given equation (x+3)(x+4)=0 is already in factored form, which means we can easily identify the solutions by setting each factor equal to zero.
(x+3) = 0 or (x+4) = 0
Solving for x in each equation, we get:
x + 3 = 0 --> x = -3
x + 4 = 0 --> x = -4
Therefore, the solutions to the equation (x+3)(x+4)=0 are x = -3 and x = -4.
Graphing the Equation
To visualize the solution, we can graph the equation (x+3)(x+4)=0. The graph will intersect the x-axis at the points x = -3 and x = -4, which are the solutions we found earlier.
Importance of Quadratic Equations
Quadratic equations, including (x+3)(x+4)=0, have many real-world applications in various fields, such as physics, engineering, economics, and computer science. They are used to model and solve problems involving projectile motion, electrical circuits, optimization, and more.
Conclusion
In conclusion, the equation (x+3)(x+4)=0 is a quadratic equation in standard form, which can be easily solved by factoring and setting each factor equal to zero. The solutions to the equation are x = -3 and x = -4, which can be visualized on a graph. Quadratic equations play a vital role in various fields, and understanding their properties and solutions is crucial for problem-solving in mathematics and other disciplines.
