Question

Explain the completing square method
class 10th
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Answer 1

Answer:

Completing square method:

It simply works on methodology if A² = a,

then A = ± √a

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Method:

General quadratic equation:

» ax² + bx + c = 0, (a ≠ 0)

Step 1:

Divide throughout by a.

» x² + bx/a + c/a = 0

Step 2:

Shift constant on other hand.

» x² + bx/a = -c/a

Step 3:

(½ × Coefficient of x)²

= (½ × b/a)²

= b²/4a²

Add on both sides

» x² + bx/a + b²/4a² = -c/a + b²/4a²

» x² + 2 (b/a) x + (b/2a)² = (b² - 4ac)/4a²

» (x + b/2a)² = (b² - 4ac)/4a²

Step 4:

Taking square root on both the sides

» x + b/2a = ± √(b² - 4ac)/2a

» x = [- b + √(b² - 4ac) ] / 2a or

x = [- b - √(b² - 4ac) ] / 2a

We get the same result by formula method.

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Bye @MissV this is final Good Bye

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Answer 2

Hello there !

How are you Miss Perfect ?

Hope all going well

Keep smiling :D