Quadratic Equations and Theory of Equations
Telangana Open School (TOSS) · Class 12 · Mathematics
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Quick Quiz: Quadratic Equations and Theory of Equations
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Which of the following is the standard form of a quadratic equation?
What is the degree of a quadratic equation?
If α and β are roots of ax^2 + bx + c = 0, then α + β equals:
The discriminant of the quadratic equation ax^2 + bx + c = 0 is:
Sample Questions
If the discriminant D > 0, the roots are:
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real and unequal
When D > 0, the quadratic equation has two distinct real roots.
If D = 0, the roots of the quadratic equation are:
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real and equal
When D = 0, the quadratic equation has exactly one real root (repeated root).
If D < 0, the roots are:
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complex and conjugate
When D < 0, the roots are complex and conjugate to each other.
The roots of x^2 - 5x + 6 = 0 are:
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2 and 3
Factoring: x^2 - 5x + 6 = (x - 2)(x - 3) = 0, so roots are 2 and 3.
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