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Check Whether the Following is Quadratic Equation Or Not. X(X + 1) + 8 = (X + 2) (X − 2) - CBSE Class 10 - Mathematics

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Question

Check whether the following is quadratic equation or not.

x(x + 1) + 8 = (x + 2) (x - 2)

Solution

Here it has been given that,

x(x + 1) + 8 = (x + 2) (x − 2)

Now, solving the above equation further we get,

x2 + x + 8 = x2 - 4

x + 12 = 0

Now as we can see, the above equation clearly does not represent a quadratic equation of the form ax2 + bx + c = 0, because x + 12 = 0 is a linear equation which does not have a x2 term in it.

Hence, the above equation is not a quadratic equation.

  Is there an error in this question or solution?

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Solution Check Whether the Following is Quadratic Equation Or Not. X(X + 1) + 8 = (X + 2) (X − 2) Concept: Quadratic Equations.
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