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Q: How many solutions does a quadratic equation and an absolute value equation have?

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An equation with absolute values instead of simple variables has twice as many solutions as an otherwise identical equation with simple variables, because every absolute value has both a negative and a positive counterpart.

Without an equality sign and not knowing the plus or minus value of 11 it can't be considered to be an equation.

You substitute the value of the variable into the quadratic equation and evaluate the expression.

They will have 2 different solutions or 2 equal solutions and some times none depending on the value of the discriminant within the quadratic equation

If a quadratic function is 0 for any value of the variable, then that value is a solution.

dunctions are not set equal to a value

D

If you mean: ax2+bx+c = 0 which is the general form of a quadratic equation whereas a is > 0 and any increases to the value of a will effect the solutions of the equation.

In the C Programming Language, the fabs function returns the absolute value of a floating-point number

Two cases in which this can typically happen (there are others as well) are: 1. The equation includes a square. Example: x2 = 25; the solutions are 5 and -5. 2. The equation includes an absolute value. Example: |x| = 10; the solutions are 10 and -10.

Mainly that somewhere in the equation there is an absolute value, usually of an expression that involves the variable.

It is the value of the discriminant of a quadratic equation.

It is an equation used to anwer an absolute value inequality.

It too will have a value of 5

An absolute personal equation is the difference between an observed value and a standard value assumed as being true.

That is a result of an absolute value equation. So an Absolute Value Graph

a = 0. That is because a = 0 implies that there is no quadratic term and so the equation is not a quadratic!There may be some who make claims depending on the value of the discriminant (which is b2-4ac). That is true only for elementary mathematics. In more advanced mathematics (complex analysis), the quadratic equation can be used in all cases except when a = 0: the value of the discriminant is irrelevant.a = 0. That is because a = 0 implies that there is no quadratic term and so the equation is not a quadratic!There may be some who make claims depending on the value of the discriminant (which is b2-4ac). That is true only for elementary mathematics. In more advanced mathematics (complex analysis), the quadratic equation can be used in all cases except when a = 0: the value of the discriminant is irrelevant.a = 0. That is because a = 0 implies that there is no quadratic term and so the equation is not a quadratic!There may be some who make claims depending on the value of the discriminant (which is b2-4ac). That is true only for elementary mathematics. In more advanced mathematics (complex analysis), the quadratic equation can be used in all cases except when a = 0: the value of the discriminant is irrelevant.a = 0. That is because a = 0 implies that there is no quadratic term and so the equation is not a quadratic!There may be some who make claims depending on the value of the discriminant (which is b2-4ac). That is true only for elementary mathematics. In more advanced mathematics (complex analysis), the quadratic equation can be used in all cases except when a = 0: the value of the discriminant is irrelevant.

You can write this as two equations, and solve them separately. The two equations are:x - 19 = -3and:-x - 19 = -3

It is sometimes the point where the value inside the absolute function is zero.

Because the solutions are found on the x axis when y is zero.

The Solution of an equation is the value of the variable that makes the equation truean answer

Yes, there can be a pure imaginary imaginary solution, as i2 =-1 and -i2 = 1. Or there can be a pure real solution or there can be a complex solution.For a quadratic equation ax2+ bx + c = 0, it depends on the value of the discriminant [b2 - 4ac], which is the value inside the radical of the quadratic formula.[b2 - 4ac] > 0 : Two distinct real solutions.[b2 - 4ac] = 0 : Two equal real solutions (double root).[b2 - 4ac] < 0 : Two complex solutions; they will be pure imaginary if b = 0, they will have both real and imaginary parts if b is nonzero.

It means you are required to "solve" a quadratic equation by factorising the quadratic equation into two binomial expressions. Solving means to find the value(s) of the variable for which the expression equals zero.

72-4*4*4 = -15 The discriminant is less than zero so there's no solutions to the quadratic equation.

If you mean 2x^2 -3x +8 = 0 then the discriminant works out as -55 which is less than 0 meaning that the equation has no real roots and so therefore no solutions are possible.