What is the formula of algebra?
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The term “formula” in algebra refers to an equation or expression that describes a relationship between variables or numbers.
Some of the most common formula of algebra
The quadratic formula is used to solve for the roots of a quadratic equation that is an equation of the form ax^2 + bx + c = 0, where x represents an unknown value and a, b, and c are constants.
x = (-b ± √(b^2 – 4ac)) / (2a)
The slope-intercept formula is used to find the equation of a line given the slope and the y-intercept.
y = mx + b,
- where m represents the slope of the line and b represents the y-intercept.
The distance formula is used to find the distance between two points in a plane.
d = √((x2 – x1)^2 + (y2 – y1)^2),
- where (x1, y1) and (x2, y2) are the coordinates of the two points.
The Pythagorean theorem formula is used to find the length of a side of a right triangle given the lengths of the other two sides.
a^2 + b^2 = c^2,
- where c represents the length of the hypotenuse of the triangle and
- a and b represent the lengths of the other two sides.
These are only a few examples of the many formulas in algebra.