If the discriminant (b² - 4ac) is negative, the roots are complex numbers. Complex roots always come in conjugate pairs (a + ...

Two of the terms involve \(x\) and two involve \(y\). Now we can combine the \(x\) terms and combine the \(y\) terms to get \(3x + 2y\).

SANTA CRUZ – Instead of shooting paint-ball guns with friends or loafing at home, 15-year-old Nash McQuaide has spent a chunk of summer break hunkered down trying to solve algebraic equations.

Removing brackets is to multiply the term outside the brackets by each term inside - also known as the distributive law. Use FOIL to remove a pair of brackets then simplify by collecting like terms.

For ax 2 + bx + c = 0, (α, β) = [–b ± √(b 2 – 4ac)]/2ac, where α and β are the roots of the equation. Sum of roots = –b/a Product of roots = c/a If roots of a quadratic equation are given, then the ...

Parsing algebraic expressions is always a pain. If you need to compute, say, 2+4*2, the answer should be the same as (2 + (4 *2)), not ((2 + 4) * 2) — in other words, the right answer is 10, not 12.

A UNSW Sydney mathematician has discovered a new method to tackle algebra's oldest challenge—solving higher polynomial equations. Polynomials are equations involving a variable raised to powers, such ...

Math Riddles: Today we bring fun and interactive Algebra math puzzles for students to prepare better for Class 8 Important Topic which is Algebraic Expressions and Identities. Students can learn and ...

Courtney Gibbons is affiliated with the Association for Women in Mathematics and the American Mathematical Society. You might remember learning about the quadratic formula to figure out the solutions ...

A mathematician has uncovered a way of answering some of algebra's oldest problems. University of New South Wales Honorary Professor Norman Wildberger, has revealed a potentially game-changing ...

A mathematician has built an algebraic solution to an equation that was once believed impossible to solve. The equations are fundamental to maths as well as science, where they have broad applications ...