0
A quadratic, of the form ax2 + c can always be factorised as a(x2 + c/a).
It can be factorised into real linear factors only if c is negative. So suppose c = -d where d is positive. Then
ax2 - d = a(x2 - d/a) = a*[x - √(d/a)]*[x + √(d/a)]
The linear factors are rational only if d/a is a rational square.
Add your answer:
Earn +20 pts
The difference between Quadratic function and quadratic equation?
dunctions are not set equal to a value
What is the value of b2-4ac equal to 0?
It is the value of the discriminant of a quadratic equation.
How did you find each product of quadratic equations?
You substitute the value of the variable into the quadratic equation and evaluate the expression.
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.
What are the roots of quadratic equation?
That depends on the value of its discriminant if its less than zero then it has no real roots.
What are the solutions of the quadratic equation 3x2 - x 11?
Without an equality sign and not knowing the plus or minus value of 11 it can't be considered to be an equation.
Fill in the blank The of the vertex of a quadratic equation is determined by substituting the value of x from the axis of symmetry into the quadratic equation?
D
The difference between Quadratic function and quadratic equation?
dunctions are not set equal to a value
What is the value of b2-4ac equal to 0?
It is the value of the discriminant of a quadratic equation.
How did you find each product of quadratic equations?
You substitute the value of the variable into the quadratic equation and evaluate the expression.
If the discriminant of a quadratic equation is zero and one root of the equation is 5 what is the value of the other root?
It too will have a value of 5
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.
What does quadratic equations using the factoring method means?
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.
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.
What is the value of c in the quadratic equation 3x 2 5x 7 0?
The answer is 3. :p
What are the roots of quadratic equation?
That depends on the value of its discriminant if its less than zero then it has no real roots.
How do you find the x value of the vertex of a quadratic equation?
It depends on the level of your mathematical knowledge. One way is to differentiate the quadratic equation and find the value of x for which the derivative is 0. The advantage of this method is that it works for turning points of polynomials of all degrees. The disadvantage is that you need to know differentiation. For a quadratic, an alternative, and simpler way is to write the equation in the form: y = ax2 + bx + c Then the x value of the vertex is -b/2a
