Check whether the following is quadratic equation or not.
16x2 − 3 = (2x + 5) (5x − 3)
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Solution
Here it has been given that,
16x2 − 3 = (2x + 5) (5x − 3)
Now, after solving the above equation further we get,
16x2 − 3 = 10x2 + 19x - 15
4x2 - 19x + 12 = 0
Now as we can see, the above equation clearly represents a quadratic equation of the form ax2 + bx + c = 0, where a = 4, b = -19 and c = 12.
Hence, the above equation is a quadratic equation.
Concept: Quadratic Equations
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