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How many real solutions does the following quadratic equation have by using the discriminant?
If the discriminant > 0 then 2 distinct real solutions.If the discriminant = 0 then 1 double real solution.If the discriminant < 0 then no real solutions (though there are two complex solutions).
Explain how the number of solutions for a quadratic equation relates to the graph of the function?
The number of solutions for a quadratic equation corresponds to the points where the graph of the quadratic function intersects the x-axis. If the graph touches the x-axis at one point, the equation has one solution (a double root). If it intersects at two points, there are two distinct solutions, while if the graph does not touch or cross the x-axis, the equation has no real solutions. This relationship is often analyzed using the discriminant from the quadratic formula: if the discriminant is positive, there are two solutions; if zero, one solution; and if negative, no real solutions.
Is there a solution to the equation 3x squared -6x equals -2 if so what is it?
Yes because when it is rearranged in the form of 3x2-6x+2 = 0 the discriminant b2-4ac of this quadratic equation is greater than zero which means that it will have two solutions. Using the quadratic equation formula will give these solutions for x as 0.422 or 1.577 both correct to three decimal places.
What is equadtratic equation?
A quadratic equation normally has 2 solutions and can be solved by using the quadratic equation formula.
Explain how to identify whether an equation has no solution or infinitely many solutions?
An equation can be determine to have no solution or infinitely many solutions by using the square rule.
Using the discriminant determine the number and type of solutions for this equation?
There are an indeterminate number of invisible solutions.
How many real solutions does the following quadratic equation have by using the discriminant?
If the discriminant > 0 then 2 distinct real solutions.If the discriminant = 0 then 1 double real solution.If the discriminant < 0 then no real solutions (though there are two complex solutions).
Explain how the number of solutions for a quadratic equation relates to the graph of the function?
The number of solutions for a quadratic equation corresponds to the points where the graph of the quadratic function intersects the x-axis. If the graph touches the x-axis at one point, the equation has one solution (a double root). If it intersects at two points, there are two distinct solutions, while if the graph does not touch or cross the x-axis, the equation has no real solutions. This relationship is often analyzed using the discriminant from the quadratic formula: if the discriminant is positive, there are two solutions; if zero, one solution; and if negative, no real solutions.
What is the discriminant and how is it used to solve equations using the quadratic formula?
It is not to solve so much as to see the number of solutions and whether there is a real solution to the equation. b2 - 4(a)(c) A positive answer = two real solutions. A negative answer = no real solution ( complex solution i ) If zero as the answer there is one real solution.
Is there a solution to the equation 3x squared -6x equals -2 if so what is it?
Yes because when it is rearranged in the form of 3x2-6x+2 = 0 the discriminant b2-4ac of this quadratic equation is greater than zero which means that it will have two solutions. Using the quadratic equation formula will give these solutions for x as 0.422 or 1.577 both correct to three decimal places.
Using the word discriminant in sentence?
The discriminant of a quadratic equation helps determine the nature of its roots - whether they are real and distinct, real and equal, or imaginary.
Using the discriminant determine the number and type of solutions for 3x2-6x plus 30?
6^2 -4(3*30) = -96 meaning that the given quadratic expression has no real roots
What is equadtratic equation?
A quadratic equation normally has 2 solutions and can be solved by using the quadratic equation formula.
Explain how to identify whether an equation has no solution or infinitely many solutions?
An equation can be determine to have no solution or infinitely many solutions by using the square rule.
What is the quadratic equation of x2 equals -11 using the complex number system?
13
Using the discriminant how many times does the graph of this equation cross the x axis 3x2 plus 6x plus 20?
In this case, the discriminant is less than zero and the graph of this parabola lies above the x-axis. It never crosses.
How do you find how many x intercepts the parabola has using the discriminant?
If the discriminant is negative, there are 0 interceptsIf the discriminant is zero, there is 1 interceptIf the discriminant is positive, there are 2 intercepts
