How do you solve $x^{3} - 10 x^{2} + 24 x = 0$ $x^3 - 10x^2 +24x = 0$ ?

Question

How do you solve $x^{3} - 10 x^{2} + 24 x = 0$ $x^3 - 10x^2 +24x = 0$ ?

2 Answers

Impact of this question

5228 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2018-04-07T08:28:13

$x = 0 or 4 or 6$ $x=0 or 4 or 6$

Explanation:

$x^{3} - 10 x^{2} + 24 x = 0$ $x^3-10x^2+24x=0$

Factor,

$x (x^{2} - 10 x + 24) = 0$ $x(x^2-10x+24)=0$

Factor,

$x (x - 6) (x - 4) = 0$ $x(x-6)(x-4)=0$

Hence,

$x = 0 or 4 or 6$ $x=0 or 4 or 6$

Answer 2 · 2018-04-07T09:05:01

$x = 0, x = 4, x = 6$ $x=0,x=4,x=6$

Explanation:

$take out a common factor x$ $"take out a "color(blue)"common factor " x$

$x (x^{2} - 10 x + 24) = 0$ $x(x^2-10x+24)=0$

$the factors of + 24 which sum to - 10 are - 4 and - 6$ $"the factors of + 24 which sum to - 10 are - 4 and - 6"$

$\Rightarrow x (x - 4) (x - 6) = 0$ $rArrx(x-4)(x-6)=0$

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

$\Rightarrow x = 0$ $rArrx=0$

$\Rightarrow x - 4 = 0 \Rightarrow x = 4$ $rArrx-4=0rArrx=4$

$x - 6 = 0 \Rightarrow x = 6$ $x-6=0rArrx=6$

Science

Math

Humanities

... and beyond

How do you solve $x^{3} - 10 x^{2} + 24 x = 0$ $x^3 - 10x^2 +24x = 0$ ?

2 Answers

Explanation:

Explanation:

Related questions

Impact of this question

Science

Math

Humanities

... and beyond

How do you solve x3−10x2+24x=0x^3 - 10x^2 +24x = 0 ?

2 Answers

Explanation:

Explanation:

Related questions

Impact of this question

How do you solve $x^{3} - 10 x^{2} + 24 x = 0$ $x^3 - 10x^2 +24x = 0$ ?