Write The Quadratic Equation In Standard Form And Then Choose The Value Of “B.” (2X – 1)(X + 5) = 0
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Answer ( 1 )
Write The Quadratic Equation In Standard Form And Then Choose The Value Of “B.” (2X – 1)(X + 5) = 0?
The quadratic equation is a mathematical concept that can be used to solve equations involving variables and unknowns. It is typically written in the standard form, which includes three components: a coefficient for “b” (the variable x), a coefficient for “c” (the constant 1), and the value of “d” (which would represent the result of the equation). In this blog post, we will look at how to write a quadratic equation in standard form and determine what value “b” should have to make it equal zero. We will also explore some basic algebraic principles and understand why they are so important when solving quadratic equations.
What is the Quadratic Equation?
The quadratic equation is a mathematical formula used to calculate the solutions to second-degree equations. This type of equation typically has two variables, x and y, which are raised to the second power. The quadratic equation can be written in standard form as:
x^2 + bx + c = 0
where b and c are coefficients that determine the shape of the curve. In order to solve for the roots of the equation, you must choose a value for b.
Standard Form of the Quadratic Equation
A quadratic equation is any equation that can be written in the form:
Ax^2 + Bx + C = 0
where A, B, and C are constants. The standard form of the quadratic equation is:
Ax^2 + Bx + C = 0
where A, B, and C are constants. The standard form of the quadratic equation is:
Ax^2 + Bx + C = 0
where A, B, and C are constants. The standard form of the quadratic equation is:
Ax^2 + Bx + C = 0
How to Choose the Value
There are a few different ways that you can choose the value of “b” in a quadratic equation. The most common method is to choose a value that makes the discriminant (b^2-4ac) equal to zero. This will ensure that the equation has only one real root. However, you may also want to choose a value for “b” that makes the discriminant positive or negative. This will give you two different real roots for the equation. Ultimately, it is up to you to decide which value of “b” will work best for your equation.
Conclusion
To write the quadratic equation in standard form, we must first factor it out and set each factor equal to 0. This gives us two equations, 2x – 1 = 0 and x + 5 = 0. Combining these into one equation gives us: 2x^2 + 3x – 5 = 0. Then in order for this equation to be in standard form, we need to solve for b by subtracting 3 from both sides of the equation. This gives us a value of b=-3. Now our final quadratic formula is: 2X^2 – 3X – 5 = 0 with a value of “b”=-3