QUADRATIC EQUATION PROBLEMS WITH SOLUTIONS
(Part - 1)

Problem 1 :

If α and β be the roots of x² + 7x + 12 = 0, then find the quadratic equation whose roots are (α + β)² and (α - β)².

Solution :

Problem 2 :

If α and β be the roots of 2x² - 4x - 1 = 0, then find the value of α²/β + β²/α.

Solution :

Problem 3 :

Solve for x :

Solution :

Problem 4 :

If one root of a quadratic equation is 2 + √3, form the equation that the roots are irrational.

Solution :

Problem 5 :

If α and β be the roots of the equation x² + px + q = 0, then find the quadratic equation whose roots are α/β and β/α.

Solution :

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