ແກ້ sqrt{3}X-x-4/tan36^circ=164

$$\sqrt { 3 } X - \frac { x - 4 } { \tan 36 ^ { \circ } } = 164$$

ແກ້ສຳລັບ X

$$X=\frac{4\sqrt{3}\left(312500000000000x+35985304560274741\right)}{2724534480020103}$$

ຂັ້ນຕອນສຳລັບການແກ້ສົມຜົນເສັ້ນຊື່

Evaluate trigonometric functions in the problem

$$\sqrt{3} X - \frac{x - 4}{0,7265425280053608} = 164$$

ຫານແຕ່ລະຄ່າຂອງ x-4 ດ້ວຍ 0,7265425280053608 ເພື່ອໄດ້ \frac{x}{0,7265425280053608}+\frac{-4}{0,7265425280053608}.

$$\sqrt{3}X-\left(\frac{x}{0,7265425280053608}+\frac{-4}{0,7265425280053608}\right)=164$$

ຂະຫຍາຍ \frac{-4}{0,7265425280053608} ໂດຍການຄູນຕົວເສດ ແລະ ຕົວຫານດ້ວຍ 10000000000000000.

$$\sqrt{3}X-\left(\frac{x}{0,7265425280053608}+\frac{-40000000000000000}{7265425280053608}\right)=164$$

ຫຼຸດເສດສ່ວນ \frac{-40000000000000000}{7265425280053608} ເປັນຈຳນວນໜ້ອຍສຸດໂດຍແຍກ ແລະ ຍົກເລີກ 8.

$$\sqrt{3}X-\left(\frac{x}{0,7265425280053608}-\frac{5000000000000000}{908178160006701}\right)=164$$

ຊອກຫາຄຳກົງກັນຂ້າມຂອງ \frac{x}{0,7265425280053608}-\frac{5000000000000000}{908178160006701}, ຊອກຫາຄຳກົງກັນຂ້າມຂອງແຕ່ລະຄຳ.

$$\sqrt{3}X-\frac{x}{0,7265425280053608}+\frac{5000000000000000}{908178160006701}=164$$

ເພີ່ມ \frac{x}{0,7265425280053608} ໃສ່ທັງສອງດ້ານ.

$$\sqrt{3}X+\frac{5000000000000000}{908178160006701}=164+\frac{x}{0,7265425280053608}$$

ລົບ \frac{5000000000000000}{908178160006701} ອອກຈາກທັງສອງຂ້າງ.

$$\sqrt{3}X=164+\frac{x}{0,7265425280053608}-\frac{5000000000000000}{908178160006701}$$

ລົບ \frac{5000000000000000}{908178160006701} ອອກຈາກ 164 ເພື່ອໃຫ້ໄດ້ \frac{143941218241098964}{908178160006701}.

$$\sqrt{3}X=\frac{143941218241098964}{908178160006701}+\frac{x}{0,7265425280053608}$$

ສົມຜົນຢູ່ໃນຮູບແບບມາດຕະຖານ.

$$\sqrt{3}X=\frac{1250000000000000x+143941218241098964}{908178160006701}$$

ຫານທັງສອງຂ້າງດ້ວຍ \sqrt{3}.

$$\frac{\sqrt{3}X}{\sqrt{3}}=\frac{1250000000000000x+143941218241098964}{908178160006701\sqrt{3}}$$

ການຫານດ້ວຍ \sqrt{3} ຈະຍົກເລີກການຄູນດ້ວຍ \sqrt{3}.

$$X=\frac{1250000000000000x+143941218241098964}{908178160006701\sqrt{3}}$$

ຫານ \frac{143941218241098964+1250000000000000x}{908178160006701} ດ້ວຍ \sqrt{3}.

$$X=\frac{4\sqrt{3}\left(312500000000000x+35985304560274741\right)}{2724534480020103}$$

ແກ້ສຳລັບ x

$$x=\frac{908178160006701\sqrt{3}X}{1250000000000000}-115,1529745928791712$$