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Enter the mathematical formula directly and click the "Next" button to get the calculation answer.
It supports mathematical functions (including trigonometric functions).
Current location：Mathematical operation > History of Mathematical Computation > Answer
Overview: 5 questions will be solved this time.Among them
☆1 equations
☆4 arithmetic calculations
[1/5 Formula]
Work: Calculate the value of equation 1+2-3+4+5-6+7+8-9+10+11-12+13+14-15+16+17-18+19+20-21 .
Question type: Mathematical calculation
Solution:
1+2-3+4+5-6+7+8-9+10+11-12+13+14-15+16+17-18+19+20-21
=3-3+4+5-6+7+8-9+10+11-12+13+14-15+16+17-18+19+20-21
=0+4+5-6+7+8-9+10+11-12+13+14-15+16+17-18+19+20-21
=4+5-6+7+8-9+10+11-12+13+14-15+16+17-18+19+20-21
=9-6+7+8-9+10+11-12+13+14-15+16+17-18+19+20-21
=3+7+8-9+10+11-12+13+14-15+16+17-18+19+20-21
=10+8-9+10+11-12+13+14-15+16+17-18+19+20-21
=18-9+10+11-12+13+14-15+16+17-18+19+20-21
=9+10+11-12+13+14-15+16+17-18+19+20-21
=19+11-12+13+14-15+16+17-18+19+20-21
=30-12+13+14-15+16+17-18+19+20-21
=18+13+14-15+16+17-18+19+20-21
=31+14-15+16+17-18+19+20-21
=45-15+16+17-18+19+20-21
=30+16+17-18+19+20-21
=46+17-18+19+20-21
=63-18+19+20-21
=45+19+20-21
=64+20-21
=84-21
=63
Answer:1+2-3+4+5-6+7+8-9+10+11-12+13+14-15+16+17-18+19+20-21=63
[2/5 Formula]
Work: Calculate the value of equation 35-34-33+32+31-30-29+28+27-26-25+24+23-22-21+20 .
Question type: Mathematical calculation
Solution:
35-34-33+32+31-30-29+28+27-26-25+24+23-22-21+20
=1-33+32+31-30-29+28+27-26-25+24+23-22-21+20
=-32+32+31-30-29+28+27-26-25+24+23-22-21+20
=0+31-30-29+28+27-26-25+24+23-22-21+20
=31-30-29+28+27-26-25+24+23-22-21+20
=1-29+28+27-26-25+24+23-22-21+20
=-28+28+27-26-25+24+23-22-21+20
=0+27-26-25+24+23-22-21+20
=27-26-25+24+23-22-21+20
=1-25+24+23-22-21+20
=-24+24+23-22-21+20
=0+23-22-21+20
=23-22-21+20
=1-21+20
=-20+20
=0
Answer:35-34-33+32+31-30-29+28+27-26-25+24+23-22-21+20=0
[3/5 Formula]
Work: Calculate the value of equation 3+8+13+18+23+28+33 .
Question type: Mathematical calculation
Solution:
3+8+13+18+23+28+33
=11+13+18+23+28+33
=24+18+23+28+33
=42+23+28+33
=65+28+33
=93+33
=126
Answer:3+8+13+18+23+28+33=126
[4/5 Formula]
Work: Calculate the value of equation 2+10+18+26+34+42+50+58 .
Question type: Mathematical calculation
Solution:
2+10+18+26+34+42+50+58
=12+18+26+34+42+50+58
=30+26+34+42+50+58
=56+34+42+50+58
=90+42+50+58
=132+50+58
=182+58
=240
Answer:2+10+18+26+34+42+50+58=240
[ 5/5 Equation]
Work: Find the solution of equation a+a*a+a*a*a+a*a*a*a = 30 .
Question type: Equation
Solution:Original question:
| a | + | a | a | + | a | a | a | + | a | a | a | a | = | 30 |
After the equation is converted into a general formula, there is a common factor:
( a - 2 )
From
a - 2 = 0
it is concluded that:：
| a1=2 |
Solutions that cannot be obtained by factorization:
a2≈-2.556773 , keep 6 decimal places
There are 2 solution(s).
解程的详细方法请参阅：《方程的解法》