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Check Whether the Following is Quadratic Equation Or Not. (2𝑥 + 1)(3𝑥 + 2) = 6(𝑥 − 1)(𝑥 − 2) - CBSE Class 10 - Mathematics

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Question

Check whether the following is quadratic equation or not.

(2𝑥 + 1)(3𝑥 + 2) = 6(𝑥 − 1)(𝑥 − 2)

Solution

Here it has been given that,

(2𝑥 + 1)(3𝑥 + 2) = 6(𝑥 − 1)(𝑥 − 2)

Now, after solving the above equation further we get,

6x2 + 7x + 2 = 6x2 - 18x + 12

25x - 10 = 0

5x - 2 = 0

Now as we can see, the above equation clearly does not represent a quadratic equation of the form ax2 + bx + c = 0, because 5x - 2 = 0 is a linear equation.

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. (2𝑥 + 1)(3𝑥 + 2) = 6(𝑥 − 1)(𝑥 − 2) Concept: Quadratic Equations.
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