If the discriminant of an equation is zero, which of the following is true of the equation?A.It has one complex solution.B.It has two complex solutions.C.It has two real solutions.D.It has one real solution.SUBMITarrow_backPREVIOUS
Question
If the discriminant of an equation is zero, which of the following is true of the equation?A.It has one complex solution.B.It has two complex solutions.C.It has two real solutions.D.It has one real solution.SUBMITarrow_backPREVIOUS
Solution
D. It has one real solution.
The discriminant of a quadratic equation is found in the formula ax^2 + bx + c = 0, where the discriminant is given by b^2 - 4ac.
If the discriminant is zero, this means that the equation has exactly one real solution (also known as a repeated root). This is because the discriminant tells us the number and type of solutions of a quadratic equation. If it's positive, we have two distinct real solutions. If it's negative, we have two complex solutions. But if it's zero, we have just one real solution.
Similar Questions
If a quadratic equation has a discriminant that equals zero, which of the following statements is always true?
Consider the following equation:−3𝑥2−2𝑥−5=0First calculate the discriminant.Δ= How many real solutions does this equation have? Two real solutions One repeated solution No real solutions
Consider only the discriminant, b2 - 4ac, to determine whether one real-number solution, two different real-number solutions, or two different imaginary-number solutions exist.-9 - 5x2 = 4x - 12Group of answer choicesOne real solutionTwo different imaginary-number solutionsTwo different real-number solutionsNext
Consider the following equation:−3𝑥2−2𝑥−5=0First calculate the discriminant.
Using the discriminant, determine how many real solutions each equation has.No RealSolutions One RealSolution Two RealSolutions0=2x2+x+10=2𝑥2+𝑥+1 −2=−4x2−12x−2=−4𝑥2−12𝑥 12=6x2+x12=6𝑥2+𝑥 0=−34x2−12x−48
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.