Write an equation equivalent to the one below by writing the trinomial as a perfect square trinomial. x2 + 8x + 9 = - 9 ?

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Write an equation equivalent to the one below by writing the trinomial as a perfect square trinomial. x2 + 8x + 9 = - 9 ?

x2 + 8x + 16 = 16

x2 + 8x + 16 =- 2

x2 + 8x + 64 = 46

x2 + 8x + 64 = 64

1 Answer

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Answer 1 · 2018-02-26T18:47:15

$x^{2} + 8 x + 16 = - 2$ $x^2+8x+16=-2$

Explanation:

$using the method of completing the square$ $"using the method of "color(blue)"completing the square"$

$x^{2} + 2 (4) x + 16 - 16 + 9 = - 9$ $x^2+2(4)xcolor(red)(+16)color(red)(-16)+9=-9$

$\Rightarrow x^{2} + 8 x + 16 - 7 = - 9$ $rArrx^2+8x+16-7=-9$

$\Rightarrow x^{2} + 8 x + 16 = - 9 + 7$ $rArrx^2+8x+16=-9+7$

$\Rightarrow x^{2} + 8 x + 16 = - 2$ $rArrx^2+8x+16=-2$

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Write an equation equivalent to the one below by writing the trinomial as a perfect square trinomial. x2 + 8x + 9 = - 9 ?

x2 + 8x + 16 = 16

x2 + 8x + 16 =- 2

x2 + 8x + 64 = 46

x2 + 8x + 64 = 64

1 Answer

Explanation:

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Impact of this question

Science

Math

Humanities

... and beyond

Write an equation equivalent to the one below by writing the trinomial as a perfect square trinomial. x2 + 8x + 9 = - ­9 ?

x2 + 8x + 16 = 16 x2 + 8x + 16 =- ­2 x2 + 8x + 64 = 46 x2 + 8x + 64 = 64

1 Answer

Explanation:

Related questions

Impact of this question

Write an equation equivalent to the one below by writing the trinomial as a perfect square trinomial. x2 + 8x + 9 = - 9 ?

x2 + 8x + 16 = 16

x2 + 8x + 16 =- 2

x2 + 8x + 64 = 46

x2 + 8x + 64 = 64