A quadratic is a type of problem In mathematics that deals with a variable multiplied by itself (an operation known as squaring). It derives from the area of a square being its side length multiplied by itself. The word quadratic comes from “quadratum”, which means square in Latin word. There are a lot of phenomena in the real world that can be … Continue reading "Quadratic Equation Solver"

Read More# Category: Algebra

## Solving SSA Triangles

SSA (Side, Side, Angle) is when we know 2 sides and 1 angle that is not the angle between the sides. How to solve an SSA triangle ? First, use Law of Sines to calculate one of the other two angles. Then, use the three angles add to 180° to find the other angle. Finally … Continue reading "Solving SSA Triangles"

Read More## Negative Exponents

Definitions Exponents are also called Powers or Indices The exponent of a number says how many times to use the number in a multiplication. General form of exponent an tells you to use a in a multiplication n times Those are positive exponents How About Negative Exponents? Dividing is the inverse (opposite) of Multiplying. A negative exponent … Continue reading "Negative Exponents"

Read More## Cross Multiply

To cross multiply is to go from this: To a × d = b × c How Does it Work? Multiplying the top (numerator) and bottom (denominator) of a fraction by the same amount doesn’t change its value. So, To cross multiply: Multiply the top and bottom of the left side fraction by the bottom … Continue reading "Cross Multiply"

Read More## Multiplying Fractions

Multiply the tops, then multiply the bottoms. How to multiply fractions There are 3 simple steps to multiply fractions Multiply the the numerators (top numbers). Multiply the denominators (bottom numbers). Simplify the fraction if needed. Example Step 1 Multiply the the numerators Step 2 Multiply the denominators Step 3 Simplify the fraction Mulltiplying Fractions and Whole Numbers … Continue reading "Multiplying Fractions"

Read More## Solving Systems of Linear Equations Using Matrices

Example Solve x + y + z = 6 2y + 5z = −4 2x + 5y − z = 27 Change into matrix form AX = B where A is the 3×3 matrix of x, y, z coefficients X is x, y, z B is 27, 6, −4 Then find the value of x, y, z X = … Continue reading "Solving Systems of Linear Equations Using Matrices"

Read More## Solving SAS Triangles

SAS (Side, Angle, Side) is when we know 2 sides and the angle between them. How to solve an SAS triangle ? use the Law of Cosines to calculate the unknown side, use the Law of Sines to find the smaller of the other two angles, use the three angles add to 180° to find … Continue reading "Solving SAS Triangles"

Read More## Conjugate

Definitions Conjugate is where we change the sign in the middle of two terms The conjugate of “a + b” is “a – b” Conjugate is only used in expressions with two terms (binomials) Examples Expressions Conjugate a + 1 a – 1 b2 – 2 b2 + 2 4 + √3 4 – √3 When we … Continue reading "Conjugate"

Read More## Rationalize the Denominator

Irrational Denominator Denominator: the bottom number of fraction Rational: Numbers such as 2, 3, 7 Irrational: Roots such as √2, √3, √7 Simplest form of number cannot have the irrational denominator. To be in simplest form, Rationalizing the Denominator! Rationalizing the Denominator is making the denominator rational How to Rationalizing the Denominator Rationalizing the Denominator … Continue reading "Rationalize the Denominator"

Read More## Algebra

Algebra (“al-jabr”, from Arabic) literally meaning “reunion of broken parts”. Algebra is one of the broad parts of mathematics, together with number theory, geometry and analysis. In its most general form, algebra is the study of mathematical symbols and the rules for manipulating these symbols. It includes everything from elementary equation solving to the study … Continue reading "Algebra"

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