###### Asked in Math and ArithmeticAlgebraGeometry

Math and Arithmetic

Algebra

Geometry

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

## Answer

###### Wiki User

###### July 12, 2009 11:48PM

They each typically have two solutions, a positive one and a negative one.

## Related Questions

###### Asked in Math and Arithmetic

### Which values for a b or c can you not use the quadratic equation?

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.

###### Asked in Math and Arithmetic, Algebra, Geometry

### How do you find a gradient of a linear equation if you are told that it is a tangent to another quadratic equation?

Solve the two equations simultaneously for x. You will probably
need the y value as well.
Differentiate the quadratic equation.
Find the value of the derivative when you substitute the value
for x (from step 1) into the derivative.
That is the gradient.
Solve the two equations simultaneously for x. You will probably
need the y value as well.
Differentiate the quadratic equation.
Find the value of the derivative when you substitute the value
for x (from step 1) into the derivative.
That is the gradient.
Solve the two equations simultaneously for x. You will probably
need the y value as well.
Differentiate the quadratic equation.
Find the value of the derivative when you substitute the value
for x (from step 1) into the derivative.
That is the gradient.
Solve the two equations simultaneously for x. You will probably
need the y value as well.
Differentiate the quadratic equation.
Find the value of the derivative when you substitute the value
for x (from step 1) into the derivative.
That is the gradient.

###### Asked in Algebra

### Can there be a real and imaginary solution to a quadratic equation?

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.

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