How do you solve $x (x^{2} + 16) = 0$ $x(x^2 + 16) = 0$ ?

Question

How do you solve $x (x^{2} + 16) = 0$ $x(x^2 + 16) = 0$ ?

2 Answers

Impact of this question

2734 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2018-04-27T16:18:39

$x$ $x$ = 0

Explanation:

In multiplication, the only way to have $0$ $0$ as a product is to multiply a number(s) by at least one $0$ $0$ . Using this property of multiplication, we know that at least one of the terms is equal to $0$ $0$ :

$x$ $x$ = 0 | $x^{2}$ $x^2$ + 16 = 0

To solve for the second term, first subtract $16$ $16$ from both sides of the equation, giving us:

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

However, there is no real number that can be squared to equal a number lower than $0$ $0$ , so there is no real solution for the second term.

Answer 2 · 2018-04-27T16:42:03

Shown below

Explanation:

We know if $a b = 0$ $ab=0$

Then $a = 0$ $a= 0$ or $b = 0$ $b = 0$

$\Rightarrow x = 0$ $color(red)(=> x = 0$

$\Rightarrow x^{2} + 16 = 0$ $=> x^2 + 16 = 0$

$\Rightarrow x^{2} = - 16$ $=> x^2 = -16$

$\Rightarrow x = \pm 4 i$ $color(blue)(=> x = pm 4i$

If $x in RR -> x = { 0 }$

if $x in CC -> x = { 0 , 4i , -4i }$

Science

Math

Humanities

... and beyond

How do you solve $x (x^{2} + 16) = 0$ $x(x^2 + 16) = 0$ ?

2 Answers

Explanation:

Explanation:

Related questions

Impact of this question

Science

Math

Humanities

... and beyond

How do you solve x(x^2 + 16) = 0x(x2+16)=0x(x^2 + 16) = 0?

2 Answers

Explanation:

Explanation:

Related questions

Impact of this question

How do you solve $x (x^{2} + 16) = 0$ $x(x^2 + 16) = 0$ ?