# Mathematics Example

In addition to being a powerful computation engine for higher-level knowledge, SubjectMate|solver can also solve math problems, such as elementary math, algebra, geometry, plotting graph, calculus and analysis, differential equation, statistic, and mathematical functions.

##### Arithmetic

Execute all arithmetic operations.

Basic arithmetic operations:

720 + 698
1.58 * 15,580
2^4

Square roots operations:

sqrt 777
##### Place Value

Place values for decimal numbers.

##### Fraction

Perform fraction.

1/3 + 7/10 + 2/4

Fraction Multiply:

1/8 * 7/14

Fraction arithmetic operations:

1/6 * (5 - 1/3)
##### Percentages

Perform percentage problems.

Convert from fraction to percentage:

convert 2/7 to percent

Calculate a discount price:

35% off of \$45.87

Solve percentage of a quantity:

45% of 9.5 miles
##### Number Type Arithmetic

Execution on signs, categories and numbers type.

##### Mathematical Word Problems

Examine the related facts for a math word problem.

##### Equation Execution

Execute equations in both symbolically and numerically.

A specified equations:

solve x^3 - 4x^2 + 6x - 24 = 0 over the reals

A polynomial equation:

solve x^2 + 4x + 6 = 0

A trigonometric equation:

sin x + cos x = 1

Systems of congruences:

solve 2x = 10 (mod 12), 3x = 9 (mod 12)
##### Numerical Root

Numerical approximation methods.

Find equation root using Newton's method:

using Newton's method solve x cos x = 0

Find equation root using the secant method:

solve x^2 + 4x + 6 = 0

Compute the nth root of a number using the bisection method:

find root of 2 with bisection method

Specify a starting point:

newton-raphson x^3 - 15x + 10 start at 2.25
##### Matrices

Matrices properties and computations.

Simple arithmetic execution on matrices:

{{0,-1},{1,0}}.{{1,2},{3,4}}+{{2,-1},{-1,2}}

Find the eigenvalue of a matrix:

eigenvalues {{4, 1}, {2, -1}}

Find the trace of a matrix:

tr {{9, -6, 7}, {-9, 4, 0}, {-8, -6, 4}}

Find the LU decomposition of a square matrix:

LU decomposition of {{7, 3, -11}, {-6, 7, 10}, {-11, 2, -2}}
##### Simplification

Simplify algebraic expressions and functions.

Simplify the algebraic expression:

simplify x^5-20x^4+163x^3-676x^2+1424x-1209

Simplify boolean algebraic expression

Simplify A And B Or A And Not B

Complete a square:

complete the square x^2+10x+28

Find a partial fraction decomposition:

partial fractions (x^2-4)/(x^4-x)
##### Finite Groups & Finite Fields

Find information about a finite group or discover properties of fields containing a finite number of elements.

Get information about a finite group:

symmetric group S3

Find properties of a finite field:

Z/7Z

Do algebra with permutations:

perm (1 2 3 4)^3(1 2 3)^-1

Compute a specific property:

number of primitive polynomials of GF(3125)
##### Quaternions

Execute and perform operations on quaternion expressions.

### USE WITHOUT ANY FEE

• Step-by-step math solution
• Unit conversion
• Chemistry Solver

### RELATED EXAMPLES

SubjectMate is the most reliable educational e-platform for students who need assistance in schoolwork/assignments, article composing, online assessment and mentoring in given subject or discipline.

### Talk To Us 