Solve the equation (4x-1) ^ 2-3 (1-4x) - 4 = 0 (at least in two ways) (4x-1) ^ 2 = - 4x-1 squared
Solution 1 (4x-1) & sup2; - 3 (1-4x) - 4 = 0 (4x-1) & sup2; + 3 (4x-1) - 4 = 0 [(4x-1) + 4] [(4x-1) - 1] = 0 (4x + 3) (4x-2) = 0 x = - 3 / 4, x = 1 / 2 solution 2 16x & sup2; - 8x + 1-3 + 12x-4 = 016x & sup2; + 4x-6 = 08x & sup2; + 2x-3 = 0 (4x + 3) (2x-1) = 0 x = - 3 / 4, x = 1 / 2 (4x-1) & sup2
RELATED INFORMATIONS
- 1. What are the advantages and disadvantages of solving equations, solving inequalities and function images?
- 2. What is the solution of the equations 2x + y = 2,2x + y = 5? Then what is the relationship between the images of this function y = 2-2x and y = 5-2x
- 3. How to determine whether a change relation is a function? Is Y & # 178; = 3x a function?
- 4. Let m and n (m ≠ 0) be constants. If in the positive proportional function y = KX, the independent variable x increases m and the corresponding function y increases n, then the value of K is () A. k=nmB. k=mnC. k=−nmD. k=−mn
- 5. It is known that y is a positive proportional function of X. when the independent variable x increases by 5, the value of Y decreases by 7
- 6. Is y = 1 / x a positive proportional function (x is an independent variable)
- 7. Given a positive proportional function, when the dependent variable y increases by 3, the independent variable x increases by 9, then the relation of this function is
- 8. In the following functions, X is an independent variable and Y is a dependent variable. Which are primary functions and which are positive proportional functions? (1) Y = 5 of X (2) y = 5 of X (3) y = - 3x + 1 (4) y = x & sup2; - 1 (5) - 2 of X + 1 Give reasons
- 9. If the function y = 3x2 - (9 + a) x + 6 + 2A (x is an independent variable and X is an integer) gets the minimum value when x = 6 or x = 7, then the value range of a is______ .
- 10. Given the function y = √ - 3x-6-7, when the independent variable x takes what value, the function y has the minimum value? And find the minimum value
- 11. How to draw the function image of 4x-4 = 0?
- 12. The number of zeros of function f (x) = 2x-x & # 178; - 2 / X in (0, + ∞) is?
- 13. Function f (x) = 2lnx - X & # 178; - KX (K ∈ R), if function f (x) has two zeros m, n (0 < m < n), and 2x0 = m + n. question: can the tangent of function f (x) at the point (x0, f (x0)) be parallel to the X axis? If so, find the tangent equation; if not, explain the reason
- 14. If f (x) = 2x & # 178; - MX- If the function f (x) = 2x & # 178; - MX-3 is an increasing function when x ∈ [2, positive infinity] and a decreasing function when x belongs to (negative infinity, - 2), then f (1) is equal to? And solved by the most basic method,
- 15. I'm preview now! Determine whether the following is a function relation. Y = + - x, y = x & #; When x = 1, y has two corresponding values, so y is not a function of X. when x = 1, - 1, y has a definite value of 1, so it is a functional relationship. So I want to ask, this problem does not tell who is a variable and who is a constant. Then I regard y as a variable, and when y = 1, x = + - 1, there are two corresponding values. Is it not a functional relationship? I'm a sophomore in junior high school. I just preview the new content tonight, Weak ask you big brother ~ swelling? Can only see x?
- 16. It is known that the image of the first-order function y = 3x + 3 intersects with the x-axis at point a and the y-axis intersects with point B, and the image of the second-order function y = - x ^ 2 + BX + C passes through two points a and B 1) There is a point m on the parabola, so that the area of △ mAb is equal to the area of △ OAB, and the coordinates of point m are obtained 2) On the line AB, there is a point P passing through P, making a parabola at the intersection of L / / X axis and C D (C is on the left side of D). If PC + PD = 6, find the coordinates of point P
- 17. The function y = 1-x & # 179; if the image is translated according to the vector a = (0,1), the function expression corresponding to the translated image is
- 18. (1) Find the domain of definition and range of function y = (x + 2) ^ - 2; (2) how to transform the image of this function image from the image of y = x ^ - 2? (3) find the monotone interval of function y = (x + 2) ^ - 2
- 19. Function image up and down translation domain unchanged, left and right translation range unchanged, this sentence right?
- 20. If the image of the function y = x ^ 2-3x + 1 is translated according to the vector a = (- 2,1), the analytic expression of the function image is Answer by eleven!