CLASS-10
BOARD: CBSE
Mathematic Worksheet - 4
TOPIC: Quadratic Equation
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SUMMARY
GENERAL FORM OF QUADRATIC EQUATION:
The general form of quadratic equation is ax^{2} + bx + c where a, b, c are real numbers and a ≠ 0.
Since a Quadratic equations In general are of the following types
ROOTS OF A QUADRATIC EQUATION
The value of x which satisfies the given equation is known as its root .The roots of a given equation are known as it solution.
NATURE OF THE ROOTS
Let the root of the quadratic equation ax^{2} +by +c = 0(where a 0,b,c€ R)
Then α = (-b+√(b^{2}-4ac))/2a ;β = (-b-√(b^{2}-4ac))/2a
The nature of the roots depends upon the value of expression within the square root sign. This is known as discriminant of the given quadratic equation.
OBJECTIVE
1 ) If one of the root of 5x^{2} +13x + k = 0 is reciprocal of the other then k=
2) The root of the equation x^{2} - x - 3 = 0 are
3) The difference between two numbers is 5 and the difference of their squares is 65.The larger number is
4) The sum of the ages of father and the son is 45 yrs. Five years ago, the product of their age was 4 times the age of the father at that time. The present age of the father is
5) If one of the roots of the quadratic equation is 2 + then find the quadratic equation
Subjective
Answers:
Objective:
Subjective: