Q&A Let z,y,z >0 such that xy+yz+zx+2xyz=1, show that \dfrac{1}{4x+1}+\dfrac{1}{4y+1}+\dfrac{1}{4z+1} \geq 1 Inequality
Q&A In the \triangle ABC，in which AB = 12，BC = 18，and AC = 25，a semicircle is drawn so that its diameter lies on AC, and so that it is tangent to AB and BC. If O is the center of the circle, Circles problems
Multiple choice If \sqrt{x} = \sqrt{a}+\sqrt{b}, then which of the following is equivalentto x ? Perfect square polynomials
Q&A In the figure, \triangle ABC is a right triangle such that \angle C=90\degree ， BC=6， AC=8. Point P is the midpoint of AB. Taking point P as the vertex, construct \angle MPN so that \angle MPN=\angle A and the sides of \angle MPN intersect AC at points M, N respectively. Triangle
Q&A Solve \Big( \dfrac{x}{x-1} \Big) ^2+\Big( \dfrac{x}{x+1} \Big) ^2=\dfrac{10}{9} Quartic Equations
Q&A The ratio of the cost of a tennis racket to tennis balls is 18:1. If a can of balls cost$5.35, what is the cost of the racket? Ratio and Proportion
Q&A If a quantity is divided in the ratio 5 : 7, the larger part is 84. Find the quantity. Ratio and Proportion
Multiple choice A positive integer is subtracted from its square. Which of the following could be the units digit of the final result? Number Theory
Q&A If a jogger runs 2 miles and burns 185 calories, how many calories would he burn jogging 3 miles Ratio and Proportion
Multiple choice Georgia drove a total of 252 miles and used 12 gallons of gasoline. What is this rate in miles per gallon? Ratio and Proportion
Q&A Show that the value of \sqrt[3]{15+13\sqrt{2} } +\sqrt[3]{15-13\sqrt{2} } is not an integer Cube root
