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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.
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How many solutions are there if the discriminant of the equation is positive?
There are two distinct real solutions.
How many solutions does a quadratic equation and an absolute value equation have?
They each typically have two solutions, a positive one and a negative one.
Does a quadratic equation has exactly one solution?
Normally it has two solutions but sometimes the solutions can be the same.
How many real solutions does a quadratic equation have if its discriminant is zero?
It will then have two equal real solutions
A positive discriminant means the quadratic equation will have how many solutions?
Two distinct real solutions.
How many solutions will the equation 25 equals 2x squared 6x have?
The quadratic equation will have two solutions.
If an equation has a degree of three how many solutions will there be?
If the highest degree of an equation is 3, then the equation must have 3 solutions. Solutions can be: 1) 3 real solutions 2) one real and two imaginary solutions.
How many solutions are there if the discriminant of the equation is positive?
There are two distinct real solutions.
How many solutions does a quadratic equation and an absolute value equation have?
They each typically have two solutions, a positive one and a negative one.
How many solutions does linear equation in two variable have?
A single linear equation in two variables has infinitely many solutions. Two linear equations in two variables will usually have a single solution - but it is also possible that they have no solution, or infinitely many solutions.
When you square each side of an equation is the resulting equation equivalent to the original?
No. The resulting equation has more solutions. For example, x = 2 has only one solution and that is x = 2.butx2= 4, the squared equation, has two solutions: x = +2 and x = -2No. The resulting equation has more solutions. For example, x = 2 has only one solution and that is x = 2.butx2= 4, the squared equation, has two solutions: x = +2 and x = -2No. The resulting equation has more solutions. For example, x = 2 has only one solution and that is x = 2.butx2= 4, the squared equation, has two solutions: x = +2 and x = -2No. The resulting equation has more solutions. For example, x = 2 has only one solution and that is x = 2.butx2= 4, the squared equation, has two solutions: x = +2 and x = -2
Does a quadratic equation has exactly one solution?
Normally it has two solutions but sometimes the solutions can be the same.
How many real solutions does a quadratic equation have if its discriminant is zero?
It will then have two equal real solutions
A positive discriminant means the quadratic equation will have how many solutions?
Two distinct real solutions.
If the discriminant of an equation is positive.What is true of the equation?
The equation has two real solutions.
How many real solutions can the quadratic formula give?
A quadratic equation can have either two real solutions or no real solutions.
What is true about the solutions of a quadratic equation when the radicand of the quadratic formula is a perfect square?
The two solutions are coincident.
