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What reasoning and explanations can be used when solving radical equations?

The basic method is the same as for other types of equations: you need to isolate the variable ("x", or whatever variable you need to solve for). In the case of radical equations, it often helps to square both sides of the equation, to get rid of the radical. You may need to rearrange the equation before squaring. It is important to note that when you do this (square both sides), the new equation may have solutions which are NOT part of the original equation. Such solutions are known as "extraneous" solutions. Here is a simple example (without radicals): x = 5 (has one solution, namely, 5) Squaring both sides: x squared = 25 (has two solutions, namely 5, and -5). To protect against this situation, make sure you check each "solution" of the modified equation against the original equation, and reject the solutions that don't satisfy it.


How do you use the substitution method to solve a system of linear equations?

You first need to isolate one variable in one of the equations and then substitute that value into the other equation and solve for the remaining variable. Take the value you just got and plug it in to the other equation for the appropriate variable. Solve for the first variable that you isolated. Example: 2x-y=3, 4x+2y=6 2x-y=3 Isolate y. +y +y 2x=y+3 -3 -3 y=2x-3 If y=2x-3 then substitute 2x-3 in for y in the other equation. 4x+2y=6 4x+2(2x-3)=6 Distribute 4x+4x-6=6 Simplify 8x-6=6 +6 +6 8x=12 Divide both sides by 8 to isolate x. x=12/8 Simplify x=3/2 Now substitute 3/2 in for x in the first equation. 2x-y=3 2(3/2)-y=3 Again, distribute. 6/2-y=3 Simplify 3-y=3 Isolate y. -3 -3 y=0 (It can't be -y=0, because you can't have -0) So, x=3/2 and y=0!


Which the easy way the method of factoring or the solving the quadratic equation?

By knowing how to use the quadratic equation formula.


What is the answer for 9c equals -135?

144


When solving a quadratic equation by factoring what method is used?

Start with a quadratic equation in the form � � 2 � � � = 0 ax 2 +bx+c=0, where � a, � b, and � c are constants, and � a is not equal to zero ( � ≠ 0 a  =0).

Related Questions

What reasoning and explanations can be used when solving radical equations?

The basic method is the same as for other types of equations: you need to isolate the variable ("x", or whatever variable you need to solve for). In the case of radical equations, it often helps to square both sides of the equation, to get rid of the radical. You may need to rearrange the equation before squaring. It is important to note that when you do this (square both sides), the new equation may have solutions which are NOT part of the original equation. Such solutions are known as "extraneous" solutions. Here is a simple example (without radicals): x = 5 (has one solution, namely, 5) Squaring both sides: x squared = 25 (has two solutions, namely 5, and -5). To protect against this situation, make sure you check each "solution" of the modified equation against the original equation, and reject the solutions that don't satisfy it.


How do you use the substitution method to solve a system of linear equations?

You first need to isolate one variable in one of the equations and then substitute that value into the other equation and solve for the remaining variable. Take the value you just got and plug it in to the other equation for the appropriate variable. Solve for the first variable that you isolated. Example: 2x-y=3, 4x+2y=6 2x-y=3 Isolate y. +y +y 2x=y+3 -3 -3 y=2x-3 If y=2x-3 then substitute 2x-3 in for y in the other equation. 4x+2y=6 4x+2(2x-3)=6 Distribute 4x+4x-6=6 Simplify 8x-6=6 +6 +6 8x=12 Divide both sides by 8 to isolate x. x=12/8 Simplify x=3/2 Now substitute 3/2 in for x in the first equation. 2x-y=3 2(3/2)-y=3 Again, distribute. 6/2-y=3 Simplify 3-y=3 Isolate y. -3 -3 y=0 (It can't be -y=0, because you can't have -0) So, x=3/2 and y=0!


How can i increase my writing method?

You can not increase a "Method". A method is a way of doing something. You could change your method, improve your method, simplify tour method, but NOT "increase" it.


How do you solve a Radical expression?

An expression cannot be solved. It may be simplified, but that is not the same thing. And how it is simplified depends on its form. An equation, or inequality, can be solved but, again, the method depends on its nature.


7x - 5y equals 76 4x plus y equals 55?

To solve this system of equations, we can use the method of substitution or elimination. Let's use the substitution method. From the second equation, we can express y as y = 55 - 4x. Substitute this expression for y in the first equation: 7x - 5(55 - 4x) = 76. Simplify this equation to solve for x. Then, substitute the value of x back into one of the original equations to find the value of y.


How do you simplify quadratic equations?

You can combine equivalent terms. You should strive to put the equation in the form ax2 + bx + c = 0. Once it is in this standard form, you can apply the quadratic formula, or some other method, to solve it.


Is a method that uses a pattern to simplify multiplying two binomials together?

Foil


FOIL is a method that uses a pattern to simplify two binomials together?

multiplying


FOIL is a method that uses a pattern to simplify multiplying two together?

binomials


Use method in a sentence?

His method to figure out the difficult algebra equation was sucessful.


How can you put equation in a sentence?

I could not figure out the math equation. The new data did not fit the existing equation. An equation can be a math formula or standard method.


How do you solve y2 equals 26?

y2=26 y2/2 l 26/2 y = 13 when using " 4 line method", the purpose is to isolate the variable. the coefficent states that you're multiplying y by 2, so to isolate the variable, you have to get rid of the 2, which you do by dividing y2 by 2. likewise, if the equation stated y+2, to isolate the variable, you subtract 2. it works the other way aroind, too. if the equation stated y/2, to isolate the variable, you multiply it by 2. the same thing with y-2. you add 2. now, the division property of equality states that when you divide on the left, you divide on the right, too. so when you divide y2 by 2 in order to isolate the variable, you have to divide 26 by 2 as well, giving you your answer of y+13. class is dismissed. ;3