(Q21 to Q30) (1 – 4 ) The Relation Between the Roots of the Second Degree Equation and the Coefficients of its Terms.

 

1sec ≫ First term  ≫ Algebra ≫ Unit 1 ≫(1 – 4 ) The Relation Between the Roots of the Second Degree Equation and the Coefficients of its Terms.

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(Q21 to Q30)

(21) If \(\mathrm{L}\) and \(\mathrm{M}\) are the roots of the equation: \(2x^2 - 5x + 1 = 0\), then find the equation whose roots are: \(2 \mathrm{L}^2\) and \(2 \mathrm{M}^2\).

الإجابة الصحيحة هي:

\(2x^2 - 21x + 2 = 0\)

(22) If \(L\) and \(M\) are the two roots of the equation: \(2x^2 - 3x - 1 = 0\), then form the quadratic equation whose two roots are: \(\frac{L}{M}, \frac{M}{L}\).

الإجابة الصحيحة هي:

\(2x^2 + 13x + 2 = 0\)