Factorization x2 + 3x - 1 = 0

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• 1. How to factorize x2-x-1
• 2. Given that X and y satisfy 2x − y ≥ 2x + y ≤ 2Y ≥ a (x − 1), and z = x + y can get the minimum value, then the value range of real number a is () A. a＜-1B. a≥2C. -1≤a≤0D. -1≤a＜2
• 3. Given that the real numbers x and y satisfy the equation x2 + y2-4x + 1 = 0, then the value range of YX + 1 is () A. [-1，1]B. [-22，22]C. [-3，3]D. [0，2]
• 4. Let the real number x, y satisfy the equation 2x2 + 3y2 = 4x, find the minimum value of X + y
• 5. Given x = 3 + 12, y = 3-12, find the value of 3x2-5xy + 3y2
• 6. When x2 + XY + y2 = 1, find the maximum and minimum value of x2 + Y2
• 7. Known: x 2 + XY + y = 14, y 2 + XY + x = 28, find the value of X + y
• 8. Given that x + y = 1, xy = - half, the value of X (x + y) 2-x (x2-y2) can be obtained by using decomposition factor
• 9. If x + y = 3, xy = 1, then x2 + Y2=______ ．
• 10. If x2 + y2 = 10, xy = 3, then (X-Y) 2 = ()
• 11. Factorization of 4x2 + 4xy-3y2 + 2x + 11y-6
• 12. Put x2_ The factorization of 3y2 in the range of real number is
• 13. On the value of 10 ^ 2x-3y given 10 ^ x = 3 10 ^ y = 2
• 14. First simplify and then evaluate: when x = 3, y = 1.2, find the value of 2 times the square of x-3y
• 15. If Y1 = X-1, y2 = 2x + 1, and y1-3y2 = 0, then x=_____ ,y1+y2=_____ How to calculate
• 16. The third power of the square of (- a) divided by the square of (- a)
• 17. Why say "the extreme point does not necessarily make the derivative zero?"
• 18. Derivative extremum problem We know that f (x) = - A * x to the third power plus b * x to the second power. When x = 1, there is a maximum. 3. Find the value of a and B. the minimum of F (x)
• 19. On the extremum of derivative The book says, "generally, the steps to find the maximum and minimum values of the function y = f (x) on [a, B} are as follows: 1. Find the extremum of function y = f (x) in (a, b); 2. Compare the extremum of function y = f (x) with the function values f (a) and f (b) at the breakpoint, where the largest one is the maximum and the smallest one is the minimum Question: is the extremum mentioned in 1 f '(x) = 0? Is the derivative value of the extremum point necessarily 0? Is it not the upper minimum and maximum value collectively referred to as extremum? Then the extremum has been found in 1, is it not the maximum and minimum value? Why should we calculate the second step?
• 20. Extremum of derivative Others say that "when we ask whether there is a straight point in the big derivative problem, we must take the number on both sides of the plant to test after finding out that the derivative is equal to zero." It seems so, but how to test it?