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Q: What is finding all solutions of the equation by using mental math or the properties of equality called?
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What are you finding when you solve a quadratic equation?

You are finding the roots or solutions. These are the values of the variable such that the quadratic equation is true. In graphical form, they are the values of the x-coordinates where the graph intersects the x-axis.


How you find the solution of a quadratic equation by graphing its quadratic equation?

When you graph the quadratic equation, you have three possibilities... 1. The graph touches x-axis once. Then that quadratic equation only has one solution and you find it by finding the x-intercept. 2. The graph touches x-axis twice. Then that quadratic equation has two solutions and you also find it by finding the x-intercept 3. The graph doesn't touch the x-axis at all. Then that quadratic equation has no solutions. If you really want to find the solutions, you'll have to go to imaginary solutions, where the solutions include negative square roots.


Do you need to put a plus or minus sign in front of a square root answer you get from finding the inverse of a quadratic equation?

Yes. Quite often, if you don't, you'll lose solutions. That is, the transformed equation - after taking square roots - will have less solutions than the original equation.


What are the advantage and disadvantage of using factoring in finding solutions in quadratic equation?

ambot cniu nmang kot gnie kmu. . . . . . . . .


What is the equation of the line that is perpendicular to -x y 7 and passes through -1 -1?

Without an equality sign and not knowing the plus or minus values of y and 7 it can't be considered to be a straight line equation therefore finding its perpendicular equation is impossible.

Related questions

What are you finding when you solve a quadratic equation?

You are finding the roots or solutions. These are the values of the variable such that the quadratic equation is true. In graphical form, they are the values of the x-coordinates where the graph intersects the x-axis.


How you find the solution of a quadratic equation by graphing its quadratic equation?

When you graph the quadratic equation, you have three possibilities... 1. The graph touches x-axis once. Then that quadratic equation only has one solution and you find it by finding the x-intercept. 2. The graph touches x-axis twice. Then that quadratic equation has two solutions and you also find it by finding the x-intercept 3. The graph doesn't touch the x-axis at all. Then that quadratic equation has no solutions. If you really want to find the solutions, you'll have to go to imaginary solutions, where the solutions include negative square roots.


Do you need to put a plus or minus sign in front of a square root answer you get from finding the inverse of a quadratic equation?

Yes. Quite often, if you don't, you'll lose solutions. That is, the transformed equation - after taking square roots - will have less solutions than the original equation.


What is x on this equation -16 plus x -30?

Without an equality sign the given expression can't be classed as an equation and so therefore finding the value of x is not possible.


Finding equations of lines as solutions?

find equation of the line. write equation in slope intercept form. (5,5) parallel line (3,13) and (12,13)


What are the advantage and disadvantage of using factoring in finding solutions in quadratic equation?

ambot cniu nmang kot gnie kmu. . . . . . . . .


How many solutions does an polynomial equation have?

Depends on degree of highest term. a^3 + bX^2 + cX + d = 0 has three solutions. And so on. Finding them is another matter.


What are some hard math equations that equals 7?

How about finding the solutions of the quadratic equation: x^2-14x+49 = 0


How do you find all the zeros of a function?

You could try setting the function equal to zero, and finding all the solutions of the equation. Just a suggestion.


What is the equation of the line that is perpendicular to -x y 7 and passes through -1 -1?

Without an equality sign and not knowing the plus or minus values of y and 7 it can't be considered to be a straight line equation therefore finding its perpendicular equation is impossible.


For which value of x is the equation 2(1 plus x) x plus 3 true?

Without an equality sign the given terms can't be classed as an equation and so therefore finding the value of x is not possible.


What is the solution for 3x2 plus 4x-10?

The given algebraic expression has no solution because without an equality sign it is not an equation and so therefore finding a solution is not possible.