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Ans:
Squaring both sides
2
2
9x - 5 = 4x
2
2
9x - 4x = 5
2
5x = 5
2
5x - 5 = 0
Since, the degree of the equation is 2, therefore, it is a quadratic equation.
Example 3 : Represent in the form of the quadratic equation
(x - 3)(2x + 1) = x(x + 5)
Ans: We have, (x - 3)(2x + 1) = x(x + 5)
2
2
2x + x - 6x - 3 = x + 5x
2
2
2x - x - 10x - 3 = 0
2
x - 10x - 3 = 0
4