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- Factorisation - only works if the solutions are rational, so not always possible).
- Graph it - only works if solutions are real. Although this method WILL find irrational soultions, it may be difficult to relate answer to simple surd forms eg very few people could recognise 1.32288.. as sqrt(7)/2!. Also, it is difficult to read solutions off a graph to a high degree of precision.
- Numerical methods - only works if solutions are real. Can go to high precision but you still have the problem of relating an infinite decimal to a simple surd representation.
- Use quadratic equation - always provides a solution if you allow complex numbers.
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What are some ways to solve an equation?
solve it
What are all the ways you can solve a quadratic equation?
First, write the equation in standard form, i.e., put zero on the right. Then, depending on the case, you may have the following options:Factor the polynomialComplete the squareUse the quadratic formula
What are different ways to solve a system of equation?
That depends on what type of equation it is because it could be quadratic, simultaneous, linear, straight line or even differential
Name four ways to solve a quadraic equation?
Four? Factoring Graphing Quadratic Equation Completing the Square There may be more, but there's at least four.
How do you find solutions to quadratic eqations?
There are several ways to solve such equations: (1) Write the equation in the form polynomial = 0, and solve the left part (where I wrote "polynomial"). (2) Completing the square. (3) Use the quadratic formula. Method (3) is by far the most flexible, but in special cases methods (1) and (2) are faster to solve.
What are some ways to solve an equation?
solve it
What are all the ways you can solve a quadratic equation?
First, write the equation in standard form, i.e., put zero on the right. Then, depending on the case, you may have the following options:Factor the polynomialComplete the squareUse the quadratic formula
What are different ways to solve a system of equation?
That depends on what type of equation it is because it could be quadratic, simultaneous, linear, straight line or even differential
How do students apply quadratic equation as an activity?
Teachers can find many ways to teach students the quadratic equation. An activity could include having contests where students race to solve the equations in the fastest time.
Name four ways to solve a quadraic equation?
Four? Factoring Graphing Quadratic Equation Completing the Square There may be more, but there's at least four.
How do you solve imaginary equations?
The answer depends on the nature of the equation. Just as there are different ways of solving a linear equation with a real solution and a quadratic equation with real solutions, and other kinds of equations, there are different methods for solving different kinds of imaginary equations.
How do you find solutions to quadratic eqations?
There are several ways to solve such equations: (1) Write the equation in the form polynomial = 0, and solve the left part (where I wrote "polynomial"). (2) Completing the square. (3) Use the quadratic formula. Method (3) is by far the most flexible, but in special cases methods (1) and (2) are faster to solve.
What two numbers multiply to negative 144 and add to positive 9?
153
What are some ways to solve an quadratice equation?
facctor the problem and atke the square root of both sides
What are the 4 methods to solve a quadratic equation?
You can solve a quadratic equation 4 different ways. graphing, which is quick but not reliable, factoring, completing the square and using the quadratic formula. There is a new fifth method, called Diagonal Sum Method, that can quickly and directly give the 2 roots in the form of 2 fractions, without having to factor the equation. It is fast, convenient, and is applicable whenever the equation can be factored. Finally, you can proceed solving in 2 steps any given quadratic equation in standard form. If a=1, solving the equation is much simpler. First, you always solve the equation in standard form by using the Diagonal Sum Method. If it fails to find answer, then you can positively conclude that the equation is not factorable, and consequently, the quadratic formula must be used. In the second step, solve the equation by using the quadratic formula.
How do you figure out if a quadratic equation is a perfect square?
There are many ways: one is to factorise. If the quadratic is written as ax2 + bx + c then, if b2 = 4ac, the quadratic is a perfect square. It is (x - b/2a)2
Which part of the quadratic formula tells you whether the quadratic equation can be solved by factoring?
Here are two ways to know if a given quadratic equations can be factored (can be solved by factoring). 1. Calculate the Discriminant D = b^2 - 4ac. When D is a perfect square (its square root is a whole number), then the given equation can be factored. 2. Solve the equation by using the new Diagonal Sum method (Amazon e-book 2010). This method directly finds the 2 real roots without having to factor the equation. Solving usually requires fewer than 3 trials. If this method fails to get the answer, then we can conclude that the equation can not be factored, and consequently the quadratic formula must be used.
