Question

Solve the given equation by the method of completing the squares: x2 + 12x – 45 = 0

Answer 1

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Answer 2

$x {}^{2} + 12x - 45 = 0$

Now adding

$( \frac{12}{2} ) {}^{2}$

On Both sides

${x}^{2} + 12x + ( \frac{12}{2} {)}^{2} = 45 + ( \frac{12}{2} ) {}^{2} \\ = > (x + \frac{12}{2} ) {}^{2} = 81 \\ = > (x + 6 {)}^{2} = 81 \\ = > x + 6 = + - 9 \\ = > x = - 15 \: or \: 3$

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