x(x+1)(x+2)(x+3) / x(x+1)
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Answer:
x(x+1)(x+2)(x+3)=24
x(x+3)=x2+3x
(x+1)(x+2)=x2+3x+2
Allow k=x2+3x+1
⟹(k−1)(k+1)=24
⟹k2−1=24
⟹k2−25=0
⟹k=±5
⟹((x2+3x+1)−5)((x2+3x+1)+5)=0
⟹(x2+3x−4)(x2+3x+6)=0
⟹(x−1)(x+4)(x2+3x+6)=0
x=−3±32−4⋅1⋅6−−−−−−−−−−√2⋅1
⟹2x=−3±9−24−−−−−√
⟹2x=−3±i15−−√
x=1∨−4∨−3+i15−−√2∨−3−i15−−√2
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x(x+1)(x+2)(x+3)/x(x+1)
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