
What quadratic means?
Answer
540k+ views
Hint: Here in this question we have been asked to write the meaning of quadratic. During learning the basics of algebra we have been taught about the meanings of quadratic that is generally given as having two as the highest power or degree.
Complete step-by-step solution:
Now considering from the question we have been asked to write the meaning of quadratic. During learning the basics of algebra we have been taught about the meanings of quadratic that is generally given as having two as the highest power or degree.
Now we can say that any expression having 2 as its highest power is known as quadratic.
For example let us consider two different expressions ${{x}^{2}}+9=0$ and ${{x}^{3}}+2{{x}^{2}}=0$ . If we observe clearly these both expression has 2 in the power of the terms but for ${{x}^{2}}+9=0$ the degree (that is highest power ) is 2 so this expression will be quadratic whereas for ${{x}^{3}}+2{{x}^{2}}=0$ is 3 so it is not quadratic.
Therefore we can conclude that the quadratic means having two as degrees for example an expression given as ${{x}^{2}}+9=0$ is a quadratic expression.
Note: While answering questions of this type we should be sure with the concepts that we are going to apply in the process. This is a very simple and easy question and can be answered accurately in a short span of time. Very few mistakes are possible in questions of this type. This is a purely theoretical question and if our concept is clear it can be answered easily. Similarly we can consider any other example too like ${{x}^{2}}+4x+4=0$ .
Complete step-by-step solution:
Now considering from the question we have been asked to write the meaning of quadratic. During learning the basics of algebra we have been taught about the meanings of quadratic that is generally given as having two as the highest power or degree.
Now we can say that any expression having 2 as its highest power is known as quadratic.
For example let us consider two different expressions ${{x}^{2}}+9=0$ and ${{x}^{3}}+2{{x}^{2}}=0$ . If we observe clearly these both expression has 2 in the power of the terms but for ${{x}^{2}}+9=0$ the degree (that is highest power ) is 2 so this expression will be quadratic whereas for ${{x}^{3}}+2{{x}^{2}}=0$ is 3 so it is not quadratic.
Therefore we can conclude that the quadratic means having two as degrees for example an expression given as ${{x}^{2}}+9=0$ is a quadratic expression.
Note: While answering questions of this type we should be sure with the concepts that we are going to apply in the process. This is a very simple and easy question and can be answered accurately in a short span of time. Very few mistakes are possible in questions of this type. This is a purely theoretical question and if our concept is clear it can be answered easily. Similarly we can consider any other example too like ${{x}^{2}}+4x+4=0$ .
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