There are 10 questions in a math test. If you answer one question correctly, you will get 10 points. If you answer one question wrong, you will get 2 points. If you finish 10 questions, you will get 76 points

There are 10 questions in a math test. If you answer one question correctly, you will get 10 points. If you answer one question wrong, you will get 2 points. If you finish 10 questions, you will get 76 points

This problem has a simple algorithm
10 points for a correct answer and 2 points for a wrong answer, that is to say, 12 points will be lost for a wrong answer. Then 76 points means 24 points,
So I got two wrong answers and eight right answers

1. In the acute angle △ ABC, ABC is the opposite edge of the angle ABC, and the root sign 3 a = 2csina (I) determines the size of the angle c (II). If C = root sign 7 and the area of △ ABC is 3 / 2 of the root sign 3, find the value of a + B
2. Let the sum of the first n terms of the arithmetic sequence {a} be Sn, and the sum of the first n terms of the arithmetic sequence {BN} with positive common ratio be TN. given A1 = 1, B1 = 3, A3 + B3 = 17, t3-s3 = 12, find the general formula of {an}, {BN}
3. P: for any real number x, ax ＾ 2 + ax + 1 ＾ 0 is constant; Q: the equation x ^ 2-x + a = 0 about X has real roots; P V q is true, P ＾ q is false, and the value range of real number a is obtained

(1) According to √ 3A = 2csina and sine theorem, a / C = 2sina / √ 3 = Sina / sinc, ∵ Sina ≠ 0, ∵ sinc = √ 3 / 2 in acute angle △ ABC, C = π / 3. Angle c = 60, (2) ∵ C = √ 7, C = π / 3, 1 / 2absin π / 3 = (3 √ 3) / 2, i.e. AB = 6A & # 178; + B & # 178; - 2abcos π 3 = 7, i.e. a

1. In the summer of 2006, a certain area of China suffered from severe drought. In order to solve the problem of drinking water for villagers, the government built a reservoir next to a spring at the foot of the mountain. 40 cubic meters of spring water was injected into the reservoir every hour. In the first week, five pumps were started to pump out a pool of water in 2.5 hours. In the second week, eight pumps were started to pump out a pool of water in 1.5 hours, Start 13 pumps to supply water at the same time. How many hours can we finish pumping this pool?
2. Xiaoming used 10 yuan to buy a box of biscuits and a bag of milk. The saleswoman's aunt told her: it was enough for you to buy a box of biscuits with 10 yuan, but it was not enough to buy another bag of milk. Today is children's day. I'll give you a 10% discount on the biscuits I bought. Take two things, please! And the change is 80 cents. It is known that the price of a box of biscuits is integer yuan. How much is a box of biscuits? How much is a bag of milk?
3. The two roads cross each other. A goes straight north from 1200 meters south of the intersection, and B goes straight east from the intersection. A and B start at the same time for 10 minutes. The distance between the two people and the intersection is equal. 100 minutes after starting, the distance between the two people and the intersection is equal again. How many meters are they from the intersection at this time?

The second question: Biscuit X Yuan, milk y yuan, equation 0.9x + y = 10-0.8, it is easy to come up with an answer is x = 8, y = 2, but it is contradictory with the conditions (you used to use 10 yuan to buy a box of biscuits is enough, but to buy another bag of milk is not enough), that is, under normal circumstances, 10 yuan can not buy two things, so x = 9, y = 1.1, that is, biscuit 9 yuan, milk 1.1 yuan

Solving mathematical problems requires process
01. If a two digit positive integer, the sum of its one digit and ten digit is 5, and the sum of its squares is 17, find the two digits
Solution: let the ten digits of the two digits be x, then its one digit is () so the two digits are ()
According to the meaning of the title ()
02. Students a and B solve the same quadratic equation with one variable. A misinterprets the coefficient of X term and gets two solutions of - 4 and 8. B misinterprets the constant term and gets two solutions of 4 and 10. In addition, there is no other error. Try to find the correct equation
03. We know the equation x & sup2; + (8-4m) x + 4m & sup2; = 0 about X. question: is there a positive number m such that the sum of the squares of the two real roots of the equation is equal to 136? If so, we request the value of M satisfying the condition

1. The sum of one digit and ten digit is 5. If ten digit is x, then one digit is (5-x) and two digit is 9x + 5 (10x + 5-x)
According to the meaning of the question, if the sum of squares of the numbers is 17, then x ^ 2 + (5-x) ^ 2 = 17
2. Let ax ^ 2 + BX + C = 0
A misread the coefficient of the X term and got two constant terms of - 4 and 8, which means that the product of the two is C / a = - 32
B misread the constant term, and solved two terms as 4 and 10. X coefficients are correct, indicating that the sum of the two terms = - B / a = 14
So the equation is x ^ 2-14-32 = 0
3. From the relationship between the equation and the coefficient:
x1^2+x2^2=(x1+x2)^2-2x1x2=(4M-8)^2-2*4M^2=136
The solution is m = - 1 or M = 9