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

Write your answer...

Submit

Still have questions?

Continue Learning about Math & Arithmetic

The solutions to a quadratic equation on a graph are the two points that cross the x-axis. NB A graphed quadratic equ'n produces a parabolic curve. If the curve crosses the x-axis in two different points it has two solution. If the quadratic curve just touches the x-axis , there is only ONE solution. It the quadratic curve does NOT touch the x-axis , then there are NO solutions. NNB In a quadratic equation, if the 'x^(2)' value is positive, then it produces a 'bowl' shaped curve. Conversely, if the 'x^(2)' value is negative, then it produces a 'umbrella' shaped curve.

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

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.

dunctions are not set equal to a value

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

Related questions

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.

The solutions to a quadratic equation on a graph are the two points that cross the x-axis. NB A graphed quadratic equ'n produces a parabolic curve. If the curve crosses the x-axis in two different points it has two solution. If the quadratic curve just touches the x-axis , there is only ONE solution. It the quadratic curve does NOT touch the x-axis , then there are NO solutions. NNB In a quadratic equation, if the 'x^(2)' value is positive, then it produces a 'bowl' shaped curve. Conversely, if the 'x^(2)' value is negative, then it produces a 'umbrella' shaped curve.

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 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.

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

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.

D

dunctions are not set equal to a value

It depends on the discriminant value of the quadratic equation. If the discriminant is positive, there are two distinct real solutions; if it is zero, there is one real solution; and if it is negative, there are two complex conjugate solutions.

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