Algebra
Polynomial Factoring
\[ \large \sqrt a + b = 7 \\ \large \sqrt b + a = 11 \]
If \(a\) and \(b\) are real numbers that satisfy the equation above, what is the value of \(a\) and \(b\) respectively?
by
Palash Som
Given that \(6y^2=2014\), find the value of
\[\frac{9\big(y^4+6y^3+9y^2\big)}{y^2+6y+9}. \]
by
Joshua Ong
\[\large a^3 + b^3 = 2593080, \ \ a + b = 210, \ \ \ \ \ ab = \ ? \]
by
Sharky Kesa
Given that \(a+b=1\) and \(a^2+b^2=2\), what is the value of \(a^7+b^7\)?
by
Isaac Arce Aguilar
If \( x^2 - 5x - 1 = 0 \), then find the value of \( x^2 + \frac{1}{x^2}.\)
by
Ankit vijay