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If the discriminant of a quadratic equation equals zero what is true of the equation?
It has one real solution.
Why do quadratic equations where the discriminant is 0 have exactly 1 real solution?
Suppose the quadratic equation is ax^2 + bx + c = 0 and D = b^2 - 4ac is the discriminant. Then the solutions to the quadratic equation are [-b ± sqrt(d)]/(2a). Since D = 0, the both solutions are equal to -b/(2a), a single real solution.
How do you solve imaginary equations?
The answer depends on the nature of the equation. Just as there are different ways of solving a linear equation with a real solution and a quadratic equation with real solutions, and other kinds of equations, there are different methods for solving different kinds of imaginary equations.
How many real solution exist for the equation 1.1x2 plus 3.3x plus 4 equals 6?
1.1x2 + 3.3x + 4 = 6 First rearrange the equation to equal zero so that we can use the quadratic formula. 1.1x2 + 3.3x - 2 = 0 Using the quadratic formula, the solutions are x = -3.52 and x = 0.52 Both of these solutions are real, so the original equation has two real solutions.
How do you know if a quadratic equation can be factored?
The answer depends on what the factors will be. For example, every quadratic can be factored if you allow complex numbers. If not, then it helps to use the discriminant. If it is positive, there are two real factors or solutions. If that positive number is a perfect square, then the factors are rational numbers. If not, they are real but not rational (irrational). If the discriminant is 0, there is one real solution. Lastly, if it is negative, there are no real solutions.
Is it possible for a quadratic equation to have no real solution give examle ansd explain?
Is it possible for a quadratic equation to have no real solution? please give an example and explain. Thank you
If the discriminant of a quadratic equation equals zero what is true of the equation?
It has one real solution.
If the discriminant of an equation is zero then?
The term "discriminant" is usually used for quadratic equations. If the discriminant is zero, then the equation has exactly one solution.
How can you have one solution in something that is quadratic?
b^2 - 4ac, the discriminant will tell you that a quadratic equation may have one real solution( discriminant = 0 ) , two real solutions( discriminant > 0 ), or no real solutions( discriminant < 0 ).
Most quadric equations have?
A quadratic equation can have two real solutions, one real solution, or two complex solutions, none of them real.
What type of equation is b2-4ac?
6
Is one solution to a real-world problem involving a quadratic equation always extraneous?
No. Sometimes they are both extraneous.
How many real solutions does a quadratic equation have if its discriminant is negative?
The quadratic has no real solutions.
Which statement about the quadratic equation below is true -4.5x2 plus 72 0 A) The equation has x 4 as its only solution B) The equation has no real solutions C) The equation has x 4 and x?
I gotchu homie: It's The equation has x = 4 and x = -4 as its only solutions.
Why do quadratic equations where the discriminant is 0 have exactly 1 real solution?
Suppose the quadratic equation is ax^2 + bx + c = 0 and D = b^2 - 4ac is the discriminant. Then the solutions to the quadratic equation are [-b ± sqrt(d)]/(2a). Since D = 0, the both solutions are equal to -b/(2a), a single real solution.
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.
How many real solutions can the quadratic formula give?
A quadratic equation can have either two real solutions or no real solutions.
