Math, asked by ayesha825, 5 months ago

when we use completing square method in quadratic equation?​

Answers

Answered by geniusyad
1

Answer:

when we have to find the roots of any variable ☺️☺️

Answered by parul4747
0

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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