Balotario resuelto 2012 1-upla_administración201
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The document contains a series of math exercises involving solving quadratic equations. There are 13 equations listed from a) to m) that involve finding the roots (x1 and x2) and sum of the roots (C.S.) for each quadratic equation. Additional exercises are listed for finding the sum and product of roots for 4 additional equations.
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3. Examples are worked through demonstrating these techniques for solving quadratics.
Assessments for class xi
The document provides information about sets and operations on sets such as union, intersection, complement, difference, properties of these operations, counting theorems for finite sets, and the number of elements in power sets. It defines key terms like union, intersection, complement, difference of sets. It lists properties of union, intersection, and complement. It presents counting theorems for finite sets involving union, intersection. It states that the number of elements in the power set of a set with n elements is 2n and the number of proper subsets is 2n-2.
Quadratic equations that factorise
The document discusses solving quadratic equations by factoring. It provides examples of factoring quadratic expressions into linear factors and setting each factor equal to 0 to solve for the roots. The key steps are: 1) write the equation in standard form, 2) factor completely, 3) set each factor equal to 0, 4) solve for the roots, and 5) check the solutions. It also provides examples of using this method to solve word problems involving quadratic equations.
Tugas matematika menemukan konsep persamaan kuadrat
1. The document contains examples of solving quadratic equations by factorizing, completing the square, and using the quadratic formula.
2. The examples include finding the area of land by setting up and solving a quadratic equation, finding the volume of objects using quadratic equations, and determining the roots of various quadratic equations.
3. The key steps shown are factorizing, completing the square, setting the discriminant equal to zero, and using the quadratic formula to solve for the roots of the equations.
Answers for 4th period exam (review)
Here are the steps to solve this probability problem:
1) Identify the sample space (all possible outcomes): When rolling a standard 6-sided die, there are 6 possible outcomes: 1, 2, 3, 4, 5, 6.
2) Identify the favorable outcomes (outcomes we want): The outcomes that result in a number greater than 2 are: 3, 4, 5, 6. There are 4 of these.
3) Calculate the probability:
Probability = Favorable Outcomes / Total Possible Outcomes
= 4 / 6
= 4/6
So the probability of rolling a number greater than 2 on a standard 6-sided die is 4/6.
Sect3 7
This document discusses linear equations and curve fitting. It provides 18 examples of using a linear system to solve for the coefficients of linear, quadratic, and cubic polynomials that fit given data points. It also provides examples of using a linear system to solve for the coefficients of circle and central conic equations that fit given points. The linear systems are set up and solved, providing the resulting equations that fit the data in each example.
Tugas matematika menemukan konsep persamaan kuadrat
1. The document describes solving several quadratic equations by factoring, completing the square, and using the quadratic formula. It provides examples of finding the roots of quadratic equations in various forms.
2. Methods for solving quadratic equations discussed include factoring, completing the square to convert it into the standard form of a quadratic equation, and using the quadratic formula.
3. Several examples are worked through step-by-step to demonstrate these different methods of solving quadratic equations algebraically.
Ch03 12
The document contains solutions to 12 math exercises:
1) Exercise a finds x = 1, exercise b finds x = -3, exercise c finds x = 3
2) Exercise d finds x = 8, exercise e finds x = 9
3) Exercise f finds x = 72, exercise g finds x = 12
4) Exercise h finds x = 120, exercise i finds x = 1
5) Exercise j finds the solution is impossible, exercise k finds x is any real number
6) Exercise l finds x = b - a
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Balotario resuelto 2012 1-upla_administración201
- 1. A. Resolución de Balotario de Ejercicios de Matemáticas ENRIQUE G Z R a) x2-2x-6 = 0 x= x1 = x2 = C.S. = b) 2 x2-7x+3 = 0 x= x1 = = x2 = = C.S. = c) -x2+7x-10 = 0 x=
- 2. x1 = = x2 = = C.S. = d) x2-2x+1 = 0 x= x1 = x2 = => x= C.S. = e) x2+x+1 = 0 x= x1 = x2 =
- 3. C.S. = f) x2-4x+4 = 0 x= x1 = x2 = => x= C.S. = g) - x2+4x-7 = 0 x= x1 = x2 = C.S. = h) 4 x2-6x+2 = 0 x=
- 4. x1 = = x2 = = C.S. = i) x2-7/6x+1/3 = 0 x= x1 = x2 = C.S.= J) x2-4x+13 = 0 x= x1 = x2 = C.S. = k) x2+6x+10 = 0 x=
- 5. x1 = x2 = C.S. = l) x2 +1 = 0 x= x1 = x2 = =i C.S. = m) x2+x-1 = 0 x= x1 = x2 = C.S. =
- 6. B. Hallando la Suma y Producto a) 3/2 x2-4/3 x+1/6 = 0 b) 6 x2-5 x+1 = 0 c) x2 + x -1 = 0 d) x2+ x-1 = 0