Let the numbers x and y satisfy the conditions:
\(x^2+y^2-xy=2\)
\(x^4+y^4+x^2y^2=8\)
The value of \(P=x^8+y^8+x^{2014}\times y^{2014}\) is:
Which of the following functions satisfying:
\(f\left(x_1+x_2\right)=f\left(x_1\right)+f\left(x_2\right)\)
Given a third degree polynomial P (x). Find the coefficient of x3 of P (x) such that P(0) = 10; P(1) = 12; P(2) = 4; P(3) = 1
Find the sum of all coefficients after expanding the expression:
\(A=\left(3-4x+x^2\right)^{2016}\times\left(3+4x+x^2\right)^{2017}\)
Given the triangle ABC such that BAc = 80o, AB = AC, M is a point inside the triangle such that MBC = 10o, MCB = 30o. What is the measurement of AMB?
What is the value of xyz where x,y and z are positive real numbers such that \(x\left(y+z\right)=32\) ; \(y\left(x+z\right)=27\) ; \(z\left(x+y\right)=35\)
Given \(\dfrac{a+b+c}{a}=\dfrac{a+b+c}{b}=\dfrac{a+b+c}{c}\), calculate \(A=\dfrac{a}{a+b+c}+\dfrac{b}{b+c+d}+\dfrac{c}{c+d+a}+\dfrac{d}{d+a+b}\).
The greatest value of integer x satisfying \(\left|x-1\right|+\left|x-3\right|+\left|x-5\right|+\left|x-7\right|=8\)
Find the positive integer x such that \(\left(x^2-1\right)\left(x^2-4\right)\left(x^2-7\right)\left(x^2-10\right)< 0\)
Given the isosceles triangle ABC (AB = AC) with  = \(108^0\). Draw the bisector AB and BE of angles A and B respectively. Given BE = 10cm. Evaluate AD = ?
Two numbers a and b are respectively 20% and 50% more than a third number c. The ratio of the numbers a to b is
\(a+b+c=0\) and \(abc=11\). Calculate \(a^3+b^3+c^3\).
\(3^{n+2}-2^{n+2}+3^n-2^n\) is divisible by ... for all n
The sum of a and b such that:
a - b = 2(a+b) = a/b is...