CBSE Class 10 Maths (Basic) 2024 · Paper 430/S/1 · Question 34(a)

Quadratic Equations 5 marks Very hard

Check whether the following equation is quadratic or not. If yes, find its roots.

(x^{3} - 4 x^{2} + 3 x + 1) = (x - 2)^{3}

Answer

Yes, the equation is quadratic: it simplifies to

2 x^{2} - 9 x + 9 = 0

, whose roots are

x = 3

and

x = \frac{3}{2}

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