Algebra
Problems related to equations, functions, polynomials, etc.
Problems in this category
The problem asks to evaluate the summation $\sum_{n=9}^{6} (n-1)$. Notice that the upper limit of th...
SummationSigma NotationSeriesLimits of Summation
2025/5/7
The problem asks us to calculate the sum $\sum_{n=1}^{6} (n^2 - 1)$.
SummationSeriesSigma Notation
2025/5/7
The problem consists of two parts. Part 1: Analyze the parity of two functions. The first function i...
FunctionsEven and Odd FunctionsFunction EvaluationAntecedents
2025/5/7
A guided missile is fired from an airplane. The displacement $d$ of the missile from the surface of ...
EquationsModelingAsymptotesLimits
2025/5/7
The image presents two mathematical formulas regarding exponents. The first one states that $a^n \ti...
ExponentsExponent RulesAlgebraic Manipulation
2025/5/7
We are given the equation $(4 + \sqrt{15})^x + (4 - \sqrt{15})^x = 62$, and we need to find the valu...
ExponentsEquationsQuadratic EquationsAlgebraic ManipulationRadicals
2025/5/7
We are asked to solve the equation $(x - 5)^2 - 10 = 0$ and express the solutions in the form $x = a...
Quadratic EquationsSolving EquationsSquare Roots
2025/5/7
We need to solve the quadratic equation $2x(8 - 7x) = -11$ for $x$, and round the answers to 2 decim...
Quadratic EquationsQuadratic FormulaReal NumbersApproximation
2025/5/7
The problem asks to find the values of $x$ that satisfy the equation $4 + 2(5x + 2x^2) = 11$. The an...
Quadratic EquationsQuadratic FormulaSurds
2025/5/7
The problem asks us to solve the quadratic equation $-7f^2 + 11f + 9 = 4 - 3f$ and provide the solut...
Quadratic EquationsQuadratic FormulaSolving EquationsApproximation
2025/5/7