How do you solve $x - 6 = - x^{2}$ $x - 6 = -x^2$ ?

Question

How do you solve $x - 6 = - x^{2}$ $x - 6 = -x^2$ ?

1 Answer

Impact of this question

1402 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2018-03-29T10:44:08

$x = - 3 or x = 2$ $x=-3" or "x=2$

Explanation:

$express the equation in standard form$ $"express the equation in "color(blue)"standard form"$

$\Rightarrow x^{2} + x - 6 = 0 \leftarrow in standard form$ $rArrx^2+x-6=0larrcolor(blue)"in standard form"$

$the factors of - 6 which sum to + 1 are + 3 and - 2$ $"the factors of - 6 which sum to + 1 are + 3 and - 2"$

$\Rightarrow (x + 3) (x - 2) = 0$ $rArr(x+3)(x-2)=0$

$equate each factor to zero and solve for x$ $"equate each factor to zero and solve for x"$

$x + 3 = 0 \Rightarrow x = - 3$ $x+3=0rArrx=-3$

$x - 2 = 0 \Rightarrow x = 2$ $x-2=0rArrx=2$

Science

Math

Humanities

... and beyond

How do you solve $x - 6 = - x^{2}$ $x - 6 = -x^2$ ?

1 Answer

Explanation:

Related questions

Impact of this question

Science

Math

Humanities

... and beyond

How do you solve x - 6 = -x^2x−6=−x2x - 6 = -x^2?

1 Answer

Explanation:

Related questions

Impact of this question

How do you solve $x - 6 = - x^{2}$ $x - 6 = -x^2$ ?