Solve the equation given in Example 3 by the method of completing the square
Solution:
Let us solve the equation using the method of completing the square.
Given, 2x2 - 5x + 3 = 0
Step1: Rewrite the equation in the form of ax2 + bx = c
⇒ 2x2 - 5x = - 3
Step 2: Divide the coefficient of x2 by the equation.
⇒ x2 - 5/2x = - 3/2
Step 3: Divide the coefficient of x by 2 and then add the square of x/ 2 to both the sides of the equation.
⇒ x2 - 5/2x + (5/ 4)2 = - 3/2 + (5/ 4)2
Step 4: Solve the equation using the algebraic identity (a - b)2 = a2 - 2ab + b2
⇒ (x - 5/4)2 = 1/16
Step 5: Taking square root on both the sides.
⇒ x - 5/4 = ± ¼
Step 6: Add 5/4 to both the sides.
⇒ x - 5/4 + 5/4 = 5/ 4 ± ¼
⇒ x = 5/ 4 - ¼ or 5/ 4 + ¼
⇒ x = 4/4 or 6/4
⇒ x = 1 or 3/2
The solution of the equation 2x2 - 5x + 3 = 0 is 1, 3/2 using the method of completing the square
☛ Check: NCERT Solutions for Class 10 Maths Chapter 4
Solve the equation given in Example 3 by the method of completing the square
Summary:
The solution for the equation 2x2 - 5x + 3 = 0, given in Example 3 by the method of completing the square is 1 or 3/2
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