Page 5 - CHAPTER 4 (Quadratic equations)

CHAPTER 4
QUADRATIC EQUATIONS

Putting the value of l in equation (2), we get

23 ×4-m-3=0 ⇒m=5

Hence, l = 4, m = 5.

Checkpoint - 1

1. Which of the following are quadratic equations :

2
(i)5x – 2x + 8 = 0 (ii)x − √2 x + 3 = 0
2
1
(iii)x − = 2 ; x ≠ 0 (iv)x – 5x + 6 = 0
2
x
1
(v)2x − = 3 ; x ≠ 0 (vi)3x − √ + 1 = 0
2

(vii)x + 5x − √5 = 0
2
2
2. Find the values of a and b if x = 1 and x = -2 are roots of equation ax
– bx + 2 = 0.

3. Find the value of k if x =1/2 is root of x -2x + k = 0.
2
In each of the following, determine whether the given values are

the solution of the given equation or not

4. 2x – 3x + 1 = 0 ; x = 1
2
5. 3x – 7x + 2 = 0 ; x = 2, x = -1/3
2

C. Solving Quadratic Equation

• Factorization Method

• Completing the Square Method

A. Factorization Method :

2
Step 1 : Arrange given quadratic equation in the standard form (ax +
bx + c = 0).

Step 2: Now, Factorize the constant term of the given quadratic
equation.

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