Real math help.
How Do You Solve a Quadratic Equation with Complex Solutions by Completing the Square?
Note:
You can solve a quadratic equation by completing the square! This tutorial shows you the steps needed to solve a quadratic using this method.
Background Tutorials
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Solve real-world and mathematical problems by writing and solving equations of the form x + p = q and px = q for cases in which p, q and x are all nonnegative rational numbers.
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What's the Subtraction Property of Equality?
Solving equations can be tough, especially if you've forgotten or have trouble understanding the tools at your disposal. One of those tools is the subtraction property of equality, and it lets you subtract the same number from both sides of an equation. Watch the video to see it in action!
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What's the Addition Property of Equality?
Solving equations can be tough, especially if you've forgotten or have trouble understanding the tools at your disposal. One of those tools is the addition property of equality, and it lets you add the same number to both sides of an equation. Watch the video to see it in action!
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Interpret parts of an expression, such as terms, factors, and coefficients.
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What is a Constant?
Constants are parts of algebraic expressions that don't change. Check out this tutorial to see exactly what a constant looks like and why it doesn't change.
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Factor a quadratic expression to reveal the zeros of the function it defines.
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How Do You Use a Shortcut to Factor a Perfect Square Trinomial?
Factoring a perfect square trinomial? Did you know there's a shortcut to factoring this special kind of trinomial? Check it out! It's pretty cool, and it may make this process a little faster!
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Use the method of completing the square to transform any quadratic equation in x into an equation of the form (x - p)^2= q that has the same solutions. Derive the quadratic formula from this form.
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What is a Quadratic Equation?
You can't go through algebra without seeing quadratic equations. The graphs of quadratic equations are parabolas; they tend to look like a smile or a frown. There's also a bunch of ways to solve these equations! Watch this tutorial and get introduced to quadratic equations!
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Use function notation, evaluate functions for inputs in their domains, and interpret statements that use function notation in terms of a context.
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How Do You Find f(x) When the Value for x Contains Other Variables?
When you're evaluating a function, you're usually given a number to plug in for the variable, but what if the expression you're plugging in contains other variables? See how to plug an expression with variables into a function! This tutorial will show you!
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Further Exploration
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Solve quadratic equations with real coefficients that have complex solutions.
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How Do You Solve a Quadratic Equation With Complex Solutions by Using the Quadratic Formula?
You can never get too much practice working with the quadratic formula, especially when the solution includes complex numbers! Watch this tutorial to see the quadratic formula be used to find the complex solutions to a quadratic equation.
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Complete the square in a quadratic expression to reveal the maximum or minimum value of the function it defines.
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How Do You Convert a Quadratic from Standard Form to Vertex Form by Completing the Square?
The vertex form of a quadratic equation can help you quickly identify the vertex of that quadratic. Follow along with this tutorial to see how to use the completing the square method to change a quadratic equation from standard form to vertex form!
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How Do You Convert a Quadratic from Standard Form to Vertex Form by Completing the Square if a≠1?
You can change a quadratic equation from standard form to vertex form by completing the square! This tutorial takes you through the process step-by-step.
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