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How do you judge whether an equation has solutions by looking at it in standard form?
Wiki User
∙ 12y ago
If you're talking about two linear equations, make sure they are not parallel.
If you're talking about quadratics, make sure that b2-4ac is not negative.
Wiki User
∙ 12y ago
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What is the extraneous solution to w equals sqrt 7w?
An "extraneous solution" is not a characteristic of an equation, but has to do with the methods used to solve it. Typically, if you square both sides of the equation, and solve the resulting equation, you might get additional solutions that are not part of the original equation. Just do this, and check each of the solutions, whether it satisfies the original equation. If one of them doesn't, it is an "extraneous" solution introduced by the squaring.
How many solutions are there to the equation x1 x2 x3 x417 where xi is a non-negative integer for 1i4?
The answer will depend on what the operation is and also whether the solutions are ordered sets (eg coordinates in 4-d space) or simply numbers.
How many solutions does a quadratic equation have when it is expressed in the form of ax2 plus bx plus c0 where a does not 0?
Assuming a, b, and c are real numbers, there are three possibilities for the solutions, depending on whether the discriminant - the square root part in the quadratic formula - is positive, zero, or negative:Two real solutionsOne ("double") real solutionTwo complex solutions
Determine whether each equation is a linear equation If so write the equation in standard form and determine the x-intercept and y-intercept 1 8x - 3y 6-4x 2 5 - 2y 3x 3 5x - 2y 7?
Without any equality signs the expressions given can't be considered to be equations
When using the addition or substitution method how can you tell whether a system of linear equations has infinitely many solutions and what is the relationship between the graphs of the two equation?
If it has infinite number of solutions that means that any ordered pair put into the system will make it true. I believe the relationship of the graphs question your asking is that tooth equations will probably be the same line
How do you know if a quadratic equation will have whether or not it will have solutions?
Factorise it!
How can you determine whether a polynomial equation has imaginary solutions?
To determine whether a polynomial equation has imaginary solutions, you must first identify what type of equation it is. If it is a quadratic equation, you can use the quadratic formula to solve for the solutions. If the equation is a cubic or higher order polynomial, you can use the Rational Root Theorem to determine if there are any imaginary solutions. The Rational Root Theorem states that if a polynomial equation has rational solutions, they must be a factor of the constant term divided by a factor of the leading coefficient. If there are no rational solutions, then the equation has imaginary solutions. To use the Rational Root Theorem, first list out all the possible rational solutions. Then, plug each possible rational solution into the equation and see if it is a solution. If there are any solutions, then the equation has imaginary solutions. If not, then there are no imaginary solutions.
Explain how to identify whether an equation has no solution or infinitely many solutions?
An equation can be determine to have no solution or infinitely many solutions by using the square rule.
You can determine by the discriminant whether the solutions to the equation are real or numbers?
imaginary
The discriminant determines how many a quadratic equation will have and whether they are real or imaginary.?
solutions
The determines how many solutions a quadratic equation will have and whether they are real or imaginary?
discriminant
You can determine by the discriminant whether the solutions to the equation are or complex numbers?
apex- real
The discriminant determines how many solutions a quadratic equation will have and whether they are real or?
imaginary
What determines how many solutions a quadric equation will have and whether they are real or imaginary?
If you put the equation into standard form, ax2 + bx + c = 0, then the number and type of roots are determined by the expression b2 - 4ac - this is because in the quadratic equation, this appears under a radical sign. If this expression is...Positive: the equation has two real solutions.Zero: the equation has one solution, sometimes considered a "double root".Negative: the equation has two complex solutions.
What statement must be true of an equation before you can use the quadratic formula to find the solutions?
The quadratic formula can be used to find the solutions of a quadratic equation - not a linear or cubic, or non-polynomial equation. The quadratic formula will always provide the solutions to a quadratic equation - whether the solutions are rational, real or complex numbers.
How do I write an equation in standard form with integer coefficients?
The answer will depend on the form of the equation. Whether it is an equation in one or more variables, whether it is linear or polynomial, there are different standard forms for exponential equations.
What is the extraneous solution to w equals sqrt 7w?
An "extraneous solution" is not a characteristic of an equation, but has to do with the methods used to solve it. Typically, if you square both sides of the equation, and solve the resulting equation, you might get additional solutions that are not part of the original equation. Just do this, and check each of the solutions, whether it satisfies the original equation. If one of them doesn't, it is an "extraneous" solution introduced by the squaring.
