when we use completing square method in quadratic equation?
Answers
Answer:
when we have to find the roots of any variable ☺️☺️
QUESTION
when we use completing square method in quadratic equation?
ANSWER
Now we can solve a Quadratic Equation in 5 steps:
Step 1 Divide all terms by a (the coefficient of x2). Step 2 Move the number term (c/a) to the right side of the equation.
Step 3 Complete the square on the left side of the equation and balance this by adding the same value to the right side of the equation.
Step 4 Take the square root on both sides of the equation.
Step 5 Subtract the number that remains on the left side of the equation to find x.
Example :-
Solve x2 + 4x + 1 = 0
Step 1 can be skipped in this example since the coefficient of x2 is 1
Step 2 Move the number term to the right side of the equation:
x2 + 4x = -1
Step 3 Complete the square on the left side of the equation and balance this by adding the same number to the right side of the equation.
(b/2)2 = (4/2)2 = 22 = 4
x2 + 4x + 4 = -1 + 4
(x + 2)2 = 4
Step 4 Take the square root on both sides of the equation:
x + 2 = ±√3 = ±1.73 (to 2 decimals)
Step 5 Subtract 2 from both sides:
x = ±1.73 – 2 = -3.73 or -0.27
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