01 - Solving Equations in Quadratic Form - Part 1 (Learn to Solve Equations in Algebra)

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Twitter: / jasongibsonmath
In this lesson, you will learn what it means for an equation to be represented in "quadratic form". This means that the equation has the general form of a quadratic function, but the variables may be slightly more complex expressions.
To solve these types of equations, we first perform a substitution where we let the variable "z" represent a part of the equation. The result of this is a classic quadratic equation in "z" that can then be solved and represented in terms of the original variable "x".

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hey, really nice video I never knew this technique existed, I see the premise of what youve taught is breaking it down into quadratic form but one quick lil doubt, at 32:27 in the video the square root of 1 is -1 cuz -1 x -1 = 1. What you meant was if x^2 = -1, thats not possible but square root of x = -1 is possible, atleast I think sooooo....

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When the solutiom is on the y-axis, is it open or closed?

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The other reason there is only one true solution is that the highest power is one. So it still follows the rule that the number of solutions will be the value of the highest power.

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sqrt(i^4)=-1, no? It appears to work in the equation, too.

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In the examples of quadratic equations, the 3rd equation when x=o, the function is undefined. So it can’t be a quadratic equation, is it?

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Hey, pls I don't really understand the substitution method, I don't know if there's a topic before this one that has more detailed explanation about substitution than this, thank you

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I think,square root of any expression equated to a negative number has no solution.

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I don't understand why not root of x is equal to -1 is answer of the problem

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I don’t think you solve the problem. Just you substation. I was waiting to solve the quadratic question. you just substitute.

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5hr playlist. 1min down 4hrs & 59mins to go