Question

Different between simultaneously equation from quadratic equation

Answer 1

Step-by-step explanation:

differences between simultaneous equations and quadratic equation:

Pointwise:-

Quadratic equation :-

• An equation of the degree is 2 called a quadratic equation.

• The general form of a quardratic equation is ax^2+bx+c = 0, where a≠0.

• A quadratic equation has at most three terms in it.

• A quadratic equation has at most two zeroes .

• The graph of a quadratic equation is an U - shaped curve is called Parabola.

• In ax^2+bx+c = 0 ,if a = 1 then it is called a monic equation.

• Y = ax^2+bx+c is a quadratic function.

• ax^2+bx+c is a quadratic polynomial.

• Sum of the roots = -b/a

• Product of the roots = c/a

• Factorization method , Completing the square method Quadratic formula.methods are used to find the roots of the given quardratic equation.

• D = b^2-4ac is called the discriminant of ax^2+bx+c= 0

• If D =0 it has two equal and real roots.

• If D > 0 it has two distinct and real roots.

• If D < 0 it has no real roots i.e. imaginary roots.

• In dishes , satillites and if we break the vehicle then where would it be stopped and the path of the object and in rackets these equations are used .

Simultaneously equation:-

• An equation of the degree is 1 called linear equation.

• An equation has only one variable is called a linear equation in one variable or simple equation.

• The general form of a simple equation is ax+b = 0 ,a≠0

• A linear equation has two variables is called a linear equation in two variables.

• The general form of a linear equation in two variables is ax+by+c = 0 ,a^2+b^2 ≠0

• A set of two or more equations, each containing two or more variables whose values can simultaneously satisfy both or all the equations in the set, the number of variables being equal to or less than the number of equations in the set.

• a1x+b1y+c1 = 0 and a2x+b2y+c2 = 0 are called simultaneous equations or the pair of linear equations in two variables.

• If a1/a2 ≠b1/b2≠c1/c2 then they are called Consistent and independent lines or intersecting lines.They have only one solution

• If a1/a2 = b1/b2= c1/c2 then they are called Consistent and Dependent lines or Coincident lines.They have infinitely number of many solutions.

• If a1/a2 = b1/b2≠c1/c2 then they are called In Consistent lines or Parallel lines.They have no solution.

• The system of equations are of two types they Homogeneous and non homogeneous equations.

• Graphical method , Substitution method, Elimination method and Cross multiplication methods are used to find the solution for these equations.