Solving Equations with Complex Solutions - dummies.
For numbers graphed on a real number graph, you can’t. That is why our graph above has no x intercepts. However, if we expand our knowledge of numbers to complex numbers, we can write out a solution to the quadratic equation. In complex numbers, is defined to be equal to the letter i.
However, the solution of the quadratic equation by factorization and use of quadratic formula are particularly significant. a) Solution of Quadratic Equations by Factorization The procedure of solving any Quadratic Equation by factorization is same as used in above example that if we find 0 as the product of two numbers then at least one of the numbers must be 0.
How do you know if a quadratic equation will have one, two, or no solutions?. The short answer is, it is easy: They all have two solutions. The Fundamental Theorem of Algebra guarantees it. Now if what you really meant to ask is: How do you know if a quadratic equation will have one, two, or no solutions over the real numbers, then read on.
A quadratic equation can have at most two solutions (and actually always has exactly two complex solutions - a fact you may learn later in your studies). But an equation in quadratic form is a more general object and we can't necessarily say that it has at most two solutions.
So if you have one complex solution for a quadratic equation, the other solution will also be a complex solution. And it will be its complex conjugate. So here we would have two complex solutions.
Title: You can use the Quadratic Formula to solve any quadratic equation that is written in standard form, 1 You can use the Quadratic Formula to solve any quadratic equation that is written in standard form, including equations with real solutions or complex solutions. 2 X is equal to negative b, Plus or minus the.
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