Facts That Matter- Quadratic Equations Class 10 Notes | EduRev

Mathematics (Maths) Class 10

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Class 10 : Facts That Matter- Quadratic Equations Class 10 Notes | EduRev

The document Facts That Matter- Quadratic Equations Class 10 Notes | EduRev is a part of the Class 10 Course Mathematics (Maths) Class 10.
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Facts that Matter

  • Quadratic Equations
    An equation of the form ax2 + bx + c = 0, where a, b, c are real numbers, and a ≠ 0, is called a quadratic equation in the variable x.
    Examples:
    x2 − 3x + 4 = 0
    Facts That Matter- Quadratic Equations Class 10 Notes | EduRev
    2x2 − 149 = 0
  • Roots of a Quadratic Equation:
    A value x = α is said to be a root of ax2 + bx + c = 0 if it satisfies the equation.
    Example: 2 is a root of 3x2 − x − 10 = 0 because 3(2)2 − 2 − 10 = 0.
    A quadratic equation has at most two roots (zeroes). Either it has no zero, or two zeroes.
    We can solve a quadratic equation by factorisation.
    Example: 
    Solve 6x2 - x - 2 = 0
    ⇒ 6x2 + 3x - 4x - 2 = 0
    ⇒ 3x(2x + 1) - 2(2x + 1)  0
    ⇒ (3x - 2) (2x + 1)  = 0
    ⇒ 3x - 2 = 0 or  2x + 1 = 0
    ⇒ x = 2/3 or x = -1/2
    These are the two roots of the equation.
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