Quadratic Equation Class 10 Maths, deals with various concepts which are as under:-
- Quadratic Equations
- Solution of a Quadratic Equation by Factorisation
- Solution of a Quadratic Equation by Completing the Square
- Nature of Root
What are quadratic equation and examples
What is quadratic equations?
Quadratic equation is the equation in which the highest power of the variable is 2.
For example: ax²+bx+c=0
Check whether following are quadratic equations:
A)(x-1)²=3(x+2)
B)(x-1)³=x(x+1)²
Write a Quadratic equation from a Statement
A.The product of two consecutive positive integers is 210. We need to find the integers?
B.The area of a rectangle is 90m². The length of the rectangle is 3 more than the twice of the breadth. We need to find the length and breadth of the rectangle?
2. Solution of a Quadratic Equation by Factorisation – Quadratic Equation Class 10
- Roots of Quadratic Equations
- Solving Quadratic Equations by factoring
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Solving Quadratic Equations by factoring Examples
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Find two numbers when their sum and products are given
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Finding value of unknown variable when root of Quadratic Equations is given
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Finding Consecutive Numbers using Quadratic Equations
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Quadratic Equation Word Problem 1
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Quadratic Equation Word Problem 2
Solution of a Quadratic Equation by Completing the Square – Quadratic Equation Class 10
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Finding roots by completing the square method
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Using Quadratic Formula to find roots of a Quadratic Equation
Quadratic Equations roots by completing squares – Example 1
Nature of roots of quadratic equations
The nature of roots depends on the value of b²-4ac
So if b²-4ac=0 then both the roots are real and equal.
If b²-4ac<0 then roots are not real.
If b²-4ac>0 then roots are distinct and real.