1. Solve the following quadratic equations
by completing the square method.
(a) x²-6x +4=0
Answers
Answered by
180
Given, Quadratic equation i.e x² - 6x + 4 = 0
- To find, value of x
Solution :
- Quadratic equation = x² - 6x + 4
→ x² - 6x + 4 = 0
→ x² - 6x = - 4
- (a - b)² = a² + b² - 2ab
- Add and subtract 3
→ (x)² - 2*x*3 + (3)² - (3)² = - 4
→ (x - 3)² - 9 = - 4
→ (x - 3)² = 9 - 4
→ (x - 3)² = 5
→ x - 3 = ± √5
- Either
→ x - 3 = √5
→ x = 3 + √5
- Or
→ x - 3 = - √5
→ x = 3 - √5
•°• The values of x are 3 + √5 and 3 - √5
Answered by
29
Given Equation:-
- x² - 6x + 4 = 0
To Find:-
- Roots of the equation
Method Used:-
- Method of Completing the Square
Solution:-
Solving the Equation,
Transporting 4 to Right side,
Now to make it a identity, Adding 9 to both the side,
It is clearly seen that it is forming the identity i.e.
Hence, The Roots of the given Equation are 3+√5 and 3-√5.
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