Quadratic Equations
Meghalaya Board · Class 10 · Mathematics
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What is the standard form of a quadratic equation?
In the quadratic equation ax² + bx + c = 0, what does 'a' represent?
What is the discriminant of a quadratic equation?
When b² - 4ac > 0, what type of roots does the quadratic equation have?
Sample Questions
What is the quadratic formula?
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x = -b ± √(b² - 4ac) / 2a
This formula helps find the roots of a quadratic equation directly.
When b² - 4ac = 0, what type of roots does the quadratic equation have?
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Two equal real roots
When the discriminant is zero, the equation has two identical real roots.
In the equation 2x² + x - 300 = 0, what is the value of 'a'?
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2
The coefficient of x² is 2, so 'a' is 2.
Who is credited with deriving the quadratic formula by the method of completing the square?
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Sridharacharya
Sridharacharya (C.E. 1025) derived the quadratic formula using the method of completing the square.
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