The interval of a real root of equation x ^ 3-x-1 = 0 is
X ^ 3 = x + 1 drawing method to draw straight line Y1 = x ^ 3 and y2 = x + 1, easy to know, intersection x > 0
When x = 1, Y1 = 1, y2 = 2, that is, y1y2
∴1
RELATED INFORMATIONS
- 1. Let m be an integer and both of the equations 3x2 + mx-2 = 0 are greater than - 95 but less than 37, then M=______ .
- 2. Let m be an integer and both of the equations 3x2 + mx-2 = 0 are greater than - 95 but less than 37, then M=______ .
- 3. (1) Given that one root of the equation x & # 178; + 3x + M = 0 is twice the other root, find the value of M. (2) given the function y = MX & # 178; + 2 (M + 1) x + m, When m is a real number, the function image and X-axis: (1) have two different common points? (2) only one common point? (3) no common point? Please write the details,
- 4. If the two roots of equation 3x & # 178; + MX + n = 0 are 1, - 5 respectively, then M = n = necessary process
- 5. We know that the sum of two squares of the equation x2 + (M + 9) x + 2m + 6 = 0 is 24, then the value of M is equal to?
- 6. It is known that the sum of squares of X equation x & # 178; - 2 (M + 1) x + M & # 178; - 2 = 0 is equal to 8?
- 7. Given that the sum of squares of the two equations x ^ 2 + (M + 9) x + 2m + 6 = 0 is 24, what is the value of M
- 8. We know the equation x & # 178; - 2mx-2m-4 = 0 about X. when we prove the value of M, the sum of squares of the two equations is equal to 7
- 9. When m is the value, the intercept of the line (2M2 + M-3) x + (m2-m) y = 4m-1 on the X axis is 1
- 10. Given the line L: (m ^ 2-2m-3) x + (2m ^ 2 + m-1) y = 2m-1, the intercept on X axis and Y axis is equal, find the value of M
- 11. The equation log3x ^ 2 + mlog1 / 3x ^ 2 + 5 = 0 of X has two equal real roots on (9, ∞), then the range of real number m is
- 12. If a is the real root of the equation x + log3x-3 = 0 and B is the real root of X + 3 ^ x-3, find a + B
- 13. If the absolute value of the equation x + 1 plus the absolute value of X-1 about x equals that a has a real root, then the value range of the real number a is () A a is greater than or equal to 0 B A is greater than or equal to 0 C A is greater than or equal to 1 D A is greater than or equal to 2
- 14. To solve the equation with absolute value: given that x is a real number, M = | x + 1 | + | x + 2 | + | x + 3 |, find the minimum value of M
- 15. If there are exactly three different real solutions to the equation of X: the second power of X - 2 times the absolute value of X + 2 = m, please guess the value of M and verify it
- 16. If the absolute value of equation - X & # 178; + 4x-3 = KX has three real solutions, then K=
- 17. When the real number m takes what value, the equation 4x + (m-2) x + (m-5) = 0 has: (1) the absolute value of positive root is greater than that of negative root When m is a real number, the equations 4x + (m-2) x + (m-5) = 0 are as follows: (1) Is the absolute value of positive root greater than that of negative root? (2) Both are greater than 1?
- 18. 2,4 of 5,9 of 10,16 of 17, find the law
- 19. First simplify, then evaluate: - (square of X + square of Y) + [- 3xy - (square of X - square of Y)], where x = - 1, y = 2
- 20. First simplify and then evaluate: - (x2 + Y2) + [- 3xy - (x2-y2)], where x = - 1, y = 2