It is proved that the value of - 3x & # 178; + 12x + 6 is always less than 0 Topics such as questions, the process should be detailed
prove:
∵-3x²+12x+6
=-3(x²-4x)+6
=-3(x²-4x+4)-6
=-3(x-2)²-6
∵-3(x-2)²
RELATED INFORMATIONS
- 1. It is proved that: (1) the value of - (x square) + 6x-10 is always less than zero; (2) the value of 4 (x square) - 12x + 10 is always greater than zero
- 2. It is proved that the square of - x + 6x_ The constant value of 10 is less than zero
- 3. It is proved that the value of - x ^ 2 + 4x-5 is always less than zero
- 4. It is proved by collocation method that the value of - 4x + 27 is greater than zero and the value of - 6x & # 178; + 24x-25 is less than zero, It must be proved by matching method!
- 5. It is proved that the value of X & # 178; - 4x27 is greater than zero by matching method Solving x square + 2ax-b square + a square = 0 by collocation method If a, B satisfy a ^ B ^ + A ^ + B ^ + 10ab + 16 = 0 Finding the value of a and B
- 6. Prove that the value of 2x ^ 2-6x + 11 is always greater than zero with matching method, and seek its minimum value, please! It is proved that the value of 2x ^ 2-6x + 11 is always greater than zero and its minimum value is obtained by matching method Is constant greater than zero the solution of this equation greater than zero Why am I 13 / 4? 2x^2-6x+11 =x^2-3x+11/2 =x^2-3x+(3/2)^2+11/2-(3/2)^2 =(x-3/2)^2+13/4 That's what I did
- 7. The results show that the value of - 2x & # 178; - 6x + 5 is not more than 19 / 2
- 8. How to solve the problem that minus x square plus 4x equals 3
- 9. How to solve (x + 1) square-2 (x-1) less than or equal to 4x
- 10. Find the square of x value (4x + 1) in the following formula - 1 = 7 / 9
- 11. It is proved by matching method that no matter what the value of X is, the value of 12x-3x & # 178; - 13X = 0 is always less than 0
- 12. 4X - (the square of x) = 4
- 13. How to do 4x squared (6-x squared) maximum
- 14. Given 4x + 3Y = 2 (x > 0, Y > 0), then the maximum value of XY is equal to
- 15. If the maximum value of the parabola y = - x2 + 4x + k is 3, then K=______ .
- 16. When x belongs to [0,3], the maximum value of y = minus x squared plus 4x minus 2 is
- 17. Known x
- 18. We know the maximum value of the function y = 4x / (x ^ 2 + 1) (x > 0). When we get the maximum value, what is x equal to
- 19. (2) 2 square of. 4x - 3xy = 2 square of 2Y - 2 (2 square of 2x - 5xy + 2 square of Y) (where x = 2, y = 3)
- 20. Given 2x-y = 2, then the value of the square of 5 (2x-y) - 4x + 2y-3 is?