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The basis for solving the equation, for example: subtraction equals subtraction of the subtracted
The solution of the equation is based on the basic properties of the equation
1. If both sides of the equation multiply or divide by the same number that is not zero, the equation holds
2. If both sides of the equation add or subtract the same number, the equation holds
It can also be calculated according to the relationship between the four parts
One addend = and - another addend
Subtraction = subtracted difference
Subtracted = subtracted + difference
One factor = product △ the other factor
Divisor = divisor △ quotient
Divisor = divisor × quotient
The quotient of 150 and x minus 7.5 is 3 times of 12.5. X, which is more than 12. 24. X plus 9 times of him, is 12.9
The quotient of 150 and x minus 7.5 is 12.5
150=x*(7.5+12.5) x=7.5
Three times x is more than 12
3x=12+24 x=12
X plus nine times his is 12.9
x+9x=12.9 x=1.29
Four times of a number minus six times of three equals 70. What's the number?
This number = (70 + 3 × 6) △ 4 = 88 △ 4 = 22
RELATED INFORMATIONS
- 1. Five times of a number minus one sixth of 120 is 35. What's the number
- 2. There is a four digit number in the first day of math problem, which satisfies the following conditions: (1) the sum of two times of the number in one digit and two is less than half of the number in ten digit. (2) the number in ten digit There is a four digit number, which satisfies the following conditions: (1) the sum of two times and two is less than half of the ten digit number. (2) the number of one digit is transferred with the number of thousand digit, the number of ten digit is transferred with the number of hundred digit, and the new four digit number is the same as the original four digit number. (3) the sum of two digits and ten digit number is 10
- 3. (for a three digit number, the number on the hundreds is twice as big as the number on the tens, and the number on the one digit is twice as big as the number on the tens.) A three digit number in the hundreds is one times larger than the number in the tens, and the number in the one digit is one times smaller than the number in the tens. If the number in the hundred of the three digit number is exchanged with the number in the one digit number, then the three digit number is 99 times larger than the original three digit number, and the original three digit number can be obtained
- 4. Let the eccentricity of the ellipse x2a2 + y2b2 = 1 (a > b > 0) be e, the right focus f (C, 0), and the two real roots of the equation AX2 + bx-c = 0 be X1 and X2 respectively, then the point P (x1, x2) () A. Must be in the circle x2 + y2 = 1 B. must be on the circle x2 + y2 = 1 C. must be outside the circle x2 + y2 = 1 D. the relation with x2 + y2 = 1 is related to E
- 5. Let the right focus of the ellipse x ^ 2 / A ^ 2 + y ^ 2 / b ^ 2 = 1 be f (C, 0) and a = 2C. Where are the two real roots of the equation AX ^ 2 + bx-c = 0 (x1, x2)
- 6. It is easy to find the solution of the equation x + 2 / x = 3 + 2 / 3 is X1 = 3, X2 = 2 / 3; the solution of X + 2 / x = 4 + 2 / 4 is X1 = 4, X2 = 2 / 4, x + 2 / x = 5 + 2 / 5 It is not difficult to find the solution of the equation x + 2 / x = 3 + 2 / 3 in the reading material, which is X1 = 3, X2 = 2 / 3; The solution of X + 2 / x = 4 + 2 / 4 is X1 = 4, X2 = 2 / 4 The solution of X + 2 / x = 5 + 2 / 5 is X1 = 5, X2 = 2 / 5 (1) Try to prove your conjecture by "finding the solution of the equation x + 2 / x = a + 2 / a about X"; (2) Using your conjecture, solve the equation x & sup2; - x + 2 / X-1 = a + 2 / A-1 about X
- 7. Solving (3) x1-x2 with known equation x ^ 2-3x + 1 = 0
- 8. First read the following materials, and then answer the questions. Through observation, we find that the solution of the equation: x + 1 / x = 2 + 1 / 2 is X1 = 2, X2 = 1 / 2; X + 1 / x = 3 + 1 / 3 is X1 = 3, X2 = 1 / 3; X + 1 / x = 4 + 1 / 4 is X1 = 4, X2 = 1 / 4 Guess the solution of the equation X-1 / x = 1 and 1 / 2 about X and verify your conclusion
- 9. Given that X1 and X2 are the two real roots of the equation 4x ^ 2-4mx + m + 2 = 0, X1 ^ 2 + x2 ^ 2 = 4, find the value of M
- 10. The square of x minus 75 plus 2245 equals 0
- 11. 40% of a number plus 3 equals 75% of 12. What's the number of ten
- 12. Given that a four digit number plus the sum of its digits is equal to 2008, then how much is the sum of all such four digits
- 13. X + (one and one third + one sixth) = 4.5,
- 14. What is five sixths minus one third
- 15. 0.375 times 8 minus 7x equals 0.2, find x equals
- 16. A simple calculation of three quarters minus two thirds and three quarters?
- 17. X + 30% x-0.7 = 18.8
- 18. To solve the equation, we must solve it step by step, three-quarters x + 3 = two-thirds X-2 and two-thirds X-2 8. 5 / 4 + x = 4; 9 / 5; 9 / 7 = 4 / 3; (2-x)
- 19. To solve the equation: 3 / 4 X-60 times 2 / 5 = 15 x: 5 / 21 = 20 / 72 / 5 x = 2 / 3 This is the symbol of ratio
- 20. X multiplied by three fourths equals four fifths (to solve the equation)