How do you solve $- 3 x^{2} + 24 x = 27$ $-3x^2+24x=27$ by completing the square?

Question

How do you solve $- 3 x^{2} + 24 x = 27$ $-3x^2+24x=27$ by completing the square?

1 Answer

Impact of this question

2725 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2016-07-30T15:37:32

$x = 4 \pm \sqrt{7}$ $x = 4 +- sqrt7$

Explanation:

Divide both sides by -3
$x^{2} - 8 x = - 9$ $x^2 - 8x = -9$
$x^{2} - 8 x + 16 = - 9 + 16 = 7$ $x^2 - 8x + 16 = -9 + 16 = 7$
${(x - 4)}^{2} = 7$ $(x - 4)^2 = 7$
$(x - 4) = \pm \sqrt{7}$ $(x - 4) = +- sqrt7$
$x = 4 \pm \sqrt{7}$ $x = 4 +- sqrt7$

Science

Math

Humanities

... and beyond

How do you solve $- 3 x^{2} + 24 x = 27$ $-3x^2+24x=27$ by completing the square?

1 Answer

Explanation:

Related questions

Impact of this question

Science

Math

Humanities

... and beyond

How do you solve -3x^2+24x=27−3x2+24x=27-3x^2+24x=27 by completing the square?

1 Answer

Explanation:

Related questions

Impact of this question

How do you solve $- 3 x^{2} + 24 x = 27$ $-3x^2+24x=27$ by completing the square?