Câu 1 : Let a and b distinct satisfy the conditions of a2 + 3a = b2 + 3b
Find a + b
Câu 2 : Given that the division of ( 5x ^ 3 - 3x ^2 + 7 ) by ( x ^ 2 + 1 ) has the remainder ax + b . Find a + b
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Given that the division of \(\left(5x^3-3x^2+7\right)\) by \(ax+b\) has the remainder . Find a+b
Find the remainder when a 2000-digit number 20192019....2019 is divided by 7
Find the value of the remainder of the division
\(\left(7x-2x^3+4x^4-5\right):\left(x^2+2\right)\)with \(x=\frac{-1}{11}\)
Answer: The value of the remainder is ....
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There are some balls in a bag. The remainder is 1 when groups of 3 balls are removed. The remainder is 2 when groups of 5 or 7 balls are removed. What is the smallest possible number of balls in the bag?
The perimeter of a rectangle is 34 cm. If its length is increasing 5 cm and its width is increasing 3 cm then the area is increasing 80 . Find the original area of the rectangle.
Answer: The original area of the rectangle is ........ cm2
The charges for the usage of per m3 of water and per kWh of electricity are $1.94 and 26 cents respectively. In May, Mr Kumar used x m3 of water and y kWh of electricity and his bill came to $272.10. In June, his bill came to $202.60 for the usage of (x-5) m3 of water and (3y - 1950) kWh of electricity. Form two equations in x and y and solve these two equations to find the total cost of using (x+8) m3 of water and (2y-725) kWh of electricity.
1.Given the quadrilateral ABCD with two diagonals perpendicular and AB = 8cm, BC = 7cm, AD = 4cm. Evaluate CD.
2.Given three consecutive even natural numbers, which have the product of last two numbers is 80 greater than the product of first two numbers.
Find the largest number.
Answer: The largest number is
Given acute triangle ABC(AB<AC). O is the midpoint of BC, BM and CN are the altitudes of triangle ABC. The bisectors of angle \(\widehat{BAC}\)and \(\widehat{MON}\)meet each other at D. AD intesects BC at E. Prove that quadrilateral BNDE is inscribed in a circle.s
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