No matter what the value of P is, does the equation (x-20) (X-30) - P square = 0 always have two different real roots

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• 12. There are six digital cards below. How many cards can you draw to ensure that there are both odd and even numbers? (123456) There are six digital cards below. At least a few cards should be drawn to ensure that there are both odd and even numbers? (123456) 2. How many cards must be drawn from a deck of playing cards (54) to ensure that there must be a spade?
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• 17. There are six cards with 123456. If you put a negative sign in front of the number of some cards to make the sum of these cards 1, list all the formulas There are six cards with 123456. If you put a minus sign in front of the number of some cards to make the sum of these cards 1, list all the formulas
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• 20. No matter what the value of M is, does the equation 2 times the square of X - (4m-1) the square of x-m-m-m = 0 have two unequal real roots? Why? Let (x + m) be the square of (x + m) + n Square of x-2x-3 = (x -) square + () Square of X + PX + q = (x +) square + () Solve the following equation The square of (4x-1) - 10 (4x-1) - 24 = 0 The square of (3x-2) = 9x Solve the equation and judge the root of the following equation: 2 times the square of X - 5x + 1 = 0 5x（5x-2）=-1 Square of (x-4) + 2 (x + 1) = 0 Square of X + square of 2x-m = 0 (M is a known number) The length of a rectangular open space is 24 meters and the width is 12 meters. Now we need to draw a small rectangular area in the center of it to plant flowers, and plant grass around the rest. If the width of the four sides is the same, the area of the small rectangle is 5 / 9 of that of the original rectangle, How many meters are the length and width of the small rectangle? Square of (x-a) = 4 (square of x-a) (a is a known number) It's a process!!! Process process!!! Do all the questions!!! Urgent demand!!!