Question

solve the following equation by the method of completing the square: 2x^2 + 4x - 16 = 0

Answer 1

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Answer 2

Question

solve the following equation by the method of completing the square: 2x^2 + 4x - 16 = 0

Solution

Quadratic Equation is ,

==> 2x² + 4x - 16 = 0

Factories by, Complete Square method

Steps 1.

First take " constant part in R.H.S.

==> 2x² + 4x = 16

Steps 2.

Divided by " 2 " both sides

==> 1/2 * ( 2x² + 4x ) = 16/2

==> 2x²/2 + 4x/2 = 8

==> x² + 2x = 8

Steps 3.

Add " 1 " both Side

==> x² + 2x + 1 = 8 + 1

==> x² + 2 * x * 1 + 1² = 9

We know

★ (a+b)² = a² + b² + 2ab

So,

==> (x + 1)² = 9

==> (x + 1) = ± √9

==> x + 1 = ± 3

Take first (-)ve Sign

==> x + 1 = -3

==> x = -3 - 1

==> x = -4

Take Second (+) ve sign

==> x + 1 = 3

==> x = 3 - 1

==> x = 2

Hence

• Value of given equation will be = 2 & -4

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