Quadratic equation 3x3=24

Advadlippabrj

Advadlippabrj

Answered

2022-01-23

Quadratic equation
3x3=24

Answer & Explanation

fionaluvsyou0x

fionaluvsyou0x

Expert

2022-01-24Added 11 answers

Step 1
May be you know this already but its
oferenteoo

oferenteoo

Expert

2022-01-25Added 12 answers

Step 1
Hints
3x3=24x38=0
x38x2=x2+2x+4
Added: The second equation means that
x38=(x2)(x2+2x+4)
Thus we have
x38=0(x2)(x3+2x+4)=0
whose solutions are the values of x that make the factor x2 or the factor x2+2x+4 equal to 0. The equation x2=0 has the solution x=2. The solutions of the equation x2+2x+4=0 may be found by the quadratic formula or as follows:
x2+2x+4=0(x+1)2+3=0(x+1)2=3
x+1=±3=±3i
x=1±3i
So
x38=0x=2 or x=1±3i
RizerMix

RizerMix

Expert

2022-01-27Added 437 answers

factor using polynomial division: x38x2=(x2+2x+4) To solve this, we can quickly complete the square as follows: Notice that we are setting x2+2x+4=0 (x+1)2+3=0 (x+1)2=3 x+1=±i3 x=1±i3 and we have our answer. I find this slightly faster than using the quadratic formula.

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