Find the discriminant of the following quadratic equation and hence determine the nature of the roots of the equation: $x^{2} = 9$.

  • A
    Discriminant = $36$,Roots are real,rational,and distinct.
  • B
    Discriminant = $0$,Roots are real and equal.
  • C
    Discriminant = $-36$,Roots are imaginary.
  • D
    Discriminant = $9$,Roots are real and distinct.

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Obtain the roots of the following quadratic equation by using the general formula for the solution: $3x^{2} - 2x + 2 = 0$

Which of the following groups correctly matches the data of Part $I$ with the data of Part $II$?
Part $I$ Part $II$
$1.$ The discriminant of $x^{2}+5x+6=0$ $a. 1$
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$3.$ The discriminant of $x^{2}+4x+3=0$ $c. 4$
$4.$ The discriminant of $x^{2}+6x+5=0$ $d. 16$

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State whether the quadratic equation $3 x^{2}-4 x+1=0$ has two distinct real roots. Justify your answer.

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