![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjpsjWaGF9-RjolHn4gGM-MiGHhQQpNlPbeoe9_EiCf83f-hFBWwLhILAH4FEJWQ8xwObIZXwL3YLfCr-yiUa5_OjvHT9kyaGC818oQXpdIOUTEX1wdHi0d2TErOSoQO5qBnVDL_yE_ZRWv/s400/Cubic+expression+question.jpg)
精 神 错 乱 – “Mentally delirious”
Jīng shén cuò luàn
Solution:
The equation,
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhxmuB1TAZsP_z5XP3fdJ5fGB3XDCH9sjfqtgvhyOM3fEfq1wqzG7xvT568CWYeCchPyXOrP92slV6MxTtF9GrPZJqdgnlEhqC2BF_AyYe-pUdtu-HCGmGtSEhWKkRpQXxbZVNwNIEEDTsO/s400/Cubic+expression+equation.jpg)
Is rearranged, giving,
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhkJvr2w839cKsDMSNizfmW0tVLO86WlplzyZvyqDGIeDDRn416mEvgDbRfTz_12UMn06LX7M2sDuUKAG5ExEhE8yA3ava7B7u8ds224AoEO1dQg2iBDG6hEujBI7BONJEcu2dMCVJVnG56/s400/Cubic+expression+equation+rearranged.jpg)
Let
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEi6DBUnJE8wOf0pebXDGDVcf_gVic4FB4kNc6MhV5XHGwQOe2pgiHP0vJAX7ULJlrtOq53R5vyziFPCyW03y7hA4x7xmFhO6_aAVTaaL_vinR4Jw9mdS4VQPVBQVpsFnkotFk4uphL7OIgf/s400/Let+square+of+X+to+be+equal+to+y.jpg)
Substituting "y" into the equation,
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgXSYapcDF4_JPvCYqxKsqoatr3mvQrW2GaKiDh2TmcNEnP9p-a6T8yg67EpIhXR3GuEuLqdVu3bz12RJ7CGPxNyK4HMQRZQWZqVuPwvBIxlymjMzS_QUF2penTT5d2mVMN-Cb_VDpjeZyU/s400/Substituting+y+into+the+equation.jpg)
Factorized the equation using the information from the question,
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhm-h9N8HNdLvj4mas31oZCOGBgSFG9ImctDt5S7fZdgGq95NQl2l-1cMk6V93CbkZ6y7stMfKsmAozMz0P_m1fnDpp-iity1kz8Yj-08ca7A15OYbiYhjvKfLMQ0ACyXmGY_86GhohogYW/s400/Factorised+the+equation+using+the+information+from+the+question.jpg)
Substituting back into the equation
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgcWX2ccO0pOHPH-0KldKkso9uehyphenhyphenqxocbXVI6dh-YPw1eo_qqvkIg5Xp0ctCFTHeBuW2gGVBANVrISrzoikLCcEE0Yqibxma4ui4j-Pa7H6nqh-IKY2Qbaqtb-hf48_EwnnYfEqNTrbxGh/s400/Substituting+x+back+into+the+equation.jpg)
We have, the various value of X,
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiZtR-hZdSjcTDx9UuF3K3GO6jAaef26HIRQqcv7pUKyItl_8A_zM90_wuLicNItEd9EcIMdMb0fa33nQUxIhCLRqIxOKM7eyCK9_EjJdmmClc9J3XI3NjaYKu6eWBcAiDh-8I-8BHNfkOZ/s400/Results+of+X.jpg)
Reference
http://www.heymath.com/heymath/
http://www.clavisinica.com/annotator.html
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