0
This is due to the zero-product property. In principle, any polynomial equation of degree 2 can be factored as:
(x - a)(x - b) = 0
Here is a specific example:
(x - 5)(x + 3) = 0
Now, if the product of two factors is zero, it follows that one of the two factors is equal to zero; so the above becomes:
x - 5 = 0 OR x + 3 = 0
Solving the individual parts, you get the two solutions. Of course, it is possible that the two factors happen to be the same; in this case, the polynomial is said to have a "double" root (i.e., a double solution).
Similarly, a polynomial equation of degree 3 can be separated into 3 factors, a polynomial of degree 4 can be factored into 4 factors, etc.
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What is equadtratic equation?
A quadratic equation normally has 2 solutions and can be solved by using the quadratic equation formula.
How do you find quadratic equation with only 2 solutions?
If the discriminant of the quadratic equation is equal or greater than zero it will have 2 solutions if it is less than zero then there are no solutions.
How many total solutions are there to any quadratic equation?
2
Is 2x2 plus 7 equals 79 linear or quadratic?
It is a quadratic equation that has 2 solutions
Is it possible for a quadratic equation to have more than 2 solutions?
No because quadratic equations only have 2 X-Intercepts
What is equadtratic equation?
A quadratic equation normally has 2 solutions and can be solved by using the quadratic equation formula.
How do you find quadratic equation with only 2 solutions?
If the discriminant of the quadratic equation is equal or greater than zero it will have 2 solutions if it is less than zero then there are no solutions.
How many solutions to a quadratic equation?
2
In general how many distinct solutions are there to a quadratic equation?
the maximum number of solutions to a quadratic equation is 2. However, usually there is only 1.
Why quadratic equations have two solutions?
If the discriminant of b2-4ac of the quadratic equation is greater the 0 then it will have 2 solutions.
What is 9x2 equals 10x plus 2?
It is a quadratic equation and its solutions can be found by using the quadratic equation formula.
How many total solutions are there to any quadratic equation?
2
If the discriminant of a quadratic equation is -4 how many solutions does the equation have?
If the discriminant of a quadratic equation is less then 0 then it will have no real solutions.
Is 2x2 plus 7 equals 79 linear or quadratic?
It is a quadratic equation that has 2 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.
What statements must be true of an equation before you can use the quadratic formula to find the solutions?
The equation must be written in the form ( ax^2 + bx + c = 0 ), where ( a \neq 0 ). This is the standard form of a quadratic equation. If the equation is not in this form, you may need to rearrange it before applying the quadratic formula.
Is it possible for a quadratic equation to have more than 2 solutions?
No because quadratic equations only have 2 X-Intercepts
