How do you solve using the completing the square method $x^{2} - 2 x - 13 = 0$ $x^2-2x-13 = 0$ ?

Question

How do you solve using the completing the square method $x^{2} - 2 x - 13 = 0$ $x^2-2x-13 = 0$ ?

1 Answer

Impact of this question

3420 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2018-01-09T09:50:21

$x = 1 \pm \sqrt{14}$ $x=1+-sqrt14$

Explanation:

$∙ the coefficient of the x^{2} term must be 1 which it is$ $• " the coefficient of the "x^2" term must be 1 which it is"$

$∙ add {(\frac{1}{2} coefficient of x-term)}^{2} to both sides$ $• " add "(1/2"coefficient of x-term")^2" to both sides"$

$x^{2} - 2 x - 13 = 0$ $x^2-2x-13=0$

$\Rightarrow x^{2} - 2 x = 13$ $rArrx^2-2x=13$

$\Rightarrow x^{2} + 2 (- 1) x + 1 = 13 + 1$ $rArrx^2+2(-1)xcolor(red)(+1)=13color(red)(+1)$

$\Rightarrow {(x - 1)}^{2} = 14$ $rArr(x-1)^2=14$

$take the square root of both sides$ $color(blue)"take the square root of both sides"$

$x - 1 = \pm \sqrt{14} \leftarrow note plus or minus$ $x-1=+-sqrt14larrcolor(blue)"note plus or minus"$

$\Rightarrow x = 1 \pm \sqrt{14}$ $rArrx=1+-sqrt14$

Science

Math

Humanities

... and beyond

How do you solve using the completing the square method $x^{2} - 2 x - 13 = 0$ $x^2-2x-13 = 0$ ?

1 Answer

Explanation:

Related questions

Impact of this question

Science

Math

Humanities

... and beyond

How do you solve using the completing the square method x2−2x−13=0x^2-2x-13 = 0?

1 Answer

Explanation:

Related questions

Impact of this question

How do you solve using the completing the square method $x^{2} - 2 x - 13 = 0$ $x^2-2x-13 = 0$ ?