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In the equation 3x ay = 8, if x = 3Y = 1 is one of its solutions, then the value of a is______ ．
Substituting x = 3Y = 1 into the equation 3x ay = 8, 9-A = 8 and a = 1 are obtained
In the equation 3x ay = 8, if x = 3Y = 1 is one of its solutions, then the value of a is______ ．
Substituting x = 3Y = 1 into the equation 3x ay = 8, 9-A = 8 and a = 1 are obtained
What is the solution to the equation x + y = 33,3x + 4Y = 100
Because x + y = 33, so x = 33-y, bring in 3x + 4Y = 100, get 99-3y + 4Y = 100, get y = 1, bring in x = 32
Given that (M 2 + 4m-5) x 2-4 (m-1) x + 3 ＞ 0 holds for all real numbers x, the range of real number m is obtained
① When M2 + 4m-5 = 0, M = 1 or M = - 5, ∵ M = 1, the original formula can be changed to 3 > 0, which is consistent with the meaning of the problem. When m = - 5, the original formula can be changed to: 24x + 3 > 0, which is not always true for all real numbers x, so it is rounding off; ∵ M = 1; when M2 + 4m-5 ≠ 0, that is, m ≠ 1, and m ≠ - 5, ∵ (M2 + 4m-5) x2-4 (m-1) x + 3 > 0, which is constant for all real numbers x ∵ M2 + 4m − 5 > 0 △ = 16 (m − 1) 2 − 12 (M2 + 4m − 5) ＜ 0 0, 1 ＜ m ＜ 19 In conclusion, 1 ≤ m < 19 (2 points)
RELATED INFORMATIONS
- 1. It is known that P (x, y) is a moving point on the circle C: x + y-2y = 0. If x + y + m ≥ 0 is constant, the value range of real number m is obtained
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- 15. When m is equal to what, the inequality mx5
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- 17. Given that the line x + 2y-3 = 0, the intersection circle x ^ 2 + y ^ 2 + x-6y + F = 0 is at the point P, Q, O, and OP is perpendicular to OQ, then f is?
- 18. If the distance between the point P (m, 3) and the line 4x-3y + 1 = 0 is 4, and the point P is in the inequality 2x + y
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