My strategery is: x^4 - 16 = 0; factor it and you are assured of all four roots.

@skill_issuesmo7367

4 ай бұрын

(x-2)(x+2)(x^2+4)

@kaique2716

3 ай бұрын

Ayoo same pfp

@tileguy918

Ай бұрын

​@skill_issuesmo7367 x²+4 is just difference of squares in disguise! x²-4i² = x²+4

Factor it (x²-4)(x²+4) = 0 x² = 4 or x² = -4 x = ±√4 or x = ±√-4 x = ±2 or x = ±2i

Sir please solve: X³ - 4x=64

@yeet6356

3 ай бұрын

Let the coefficient of x (-4) be 3st Let the constant (64) be s^3 - t^3 Let x^3 be (s-t)^3 Solve s-t for x Visual proof: m.kzread.info/dash/bejne/ZIyWqLZqmLq6j84.html&pp=ygUcRGVwcmVzc2VkIGN1YmljIHZpc3VhbCBwcm9vZg%3D%3D

Yes take the 4th root. 2×e^i(0+2k•pi/4) for k in 0...3

@daddymuggle

4 ай бұрын

The simplest approach.

@bacchadumII

3 ай бұрын

Idk why ppl do such complex methods when we have THIS

Nice

is that all the 4th root of number are all have 4 answer? 😮

@atzuras

4 ай бұрын

yes. it is called the Fundamental Algebraic Theorem ( in Complex Numbers).

@Ninja20704

4 ай бұрын

Yes, but with the exception of 0.

@user_08410

4 ай бұрын

@@atzuras thx

Why find the square root of -4 though.?

@drobotk

4 ай бұрын

Sometimes science is about "Why not?"

@daddymuggle

4 ай бұрын

Because all complex numbers (other than 0) have precisely 4 4th roots. Gotta catch 'em all.

Super easy and faster X⁴ = 16 X⁴ = 2⁴ X = 4√2⁴ (cancel the root and power) X=(+-2)

@the6278

2 ай бұрын

cheating

@znk753

Ай бұрын

you only found one root

Why are you redoing the same question? Bprp math basics has just solve the SAME question 6 days ago.

@daddymuggle

4 ай бұрын

Probably because some people like this format.

Why not x= 16^(1/4)?

@SamLeroSberg

2 ай бұрын

Aint that just rooting it?

I hate that this worked out.

speed running meth