If the discriminant of a quadratic equation is 0, then the equation has

Q: Find the roots of the quadratic equation x + 2x - 3 = 0.

A: We will find the root by two methods first by splitting the middle term and second by discriminant…

Q: If the roots of an equation are m=1 and m=-2, find the quadratic equation

A:

Q: What is the axis of symmetry of the following quadratic equation? y = 2x +12x+10

A: Given,            y=2x2+12x+10To find : The axis of symmetry of the quadratic function.We know that,…

Q: If (x – 3)2 = 5, what values of x make the quadratic equation TRUE?

A: Here we have given a quadratic equation and we have to find out the value of variable x for which…

Q: If the discriminant of ax2 + bx + c = 0 is negative, the quadratic equation has________ real…

A:

Q: If a quadraticequation has two distinct real roots, what does this say about its discriminant?

A: correct ans is C. for real and district root,discriminant must be graterthan zero.

Q: With the highest degree term being 4x', the equation 4x - 28x + 24x = 0 is known as a cubic…

A: The given cubic equation is, 4x3-28x2+24x=0 The objective is to find the solutions of the equation…

Q: Find all real solutions of the equation.

A: To find the real solutions of the given equation  4-6x =2x

Q: What is the discriminant of the quadratic equation 9x? + 5x – 9 = 0? -

A:

Q: Show that the product of the roots of a quadratic equation is c/a .

A: Consider the quadratic equation ax2+bx+c=0 Also consider that α and β are the roots of the quadratic…

Q: Use the discriminant to determine how many and what kind of solutions the quadratic equation 3x2 –…

A:

Q: Substitute a, h, and k into the vertex form of a quadratic equation.

A: We know that the vertex, (h, k) of a parabola is a point where is minimum or maximum.  The vertex…

Q: If the discriminant of ax² + bx + c = 0 is negative, the quadratic equation has real solutions.

A: We know that if the discriminant of ax2+bx+c=0 is negative, the quadratic equation has no real…

Q: Find all real solutions of the equation. 2x2 + x = 1

A: Solution: Consider the given that : 2x2 + x = 1 Therefore 2x2 + x - 1 = 0 This is quadratic in x…

Q: Which of the following equations is a quadratic equation?

A:

Q: The equation m2/3 + 10m1/3 + 9 = 0 is said to be in __________form, because making the substitution…

A: In mathematical expressions/equations, power to which a variable has been raised is called an…

Q: If the discriminant of a quadratic equation is -2, then the equation has  ?      . If the…

A:

Q: True or False If the discriminant of a quadratic equationis positive, then the equation has two…

A: Solution of an equation f(x)=0 is the value of x which when substituted in the equation satisfies…

Q: Compute the value of the discriminant and give the number of real solutions of the quadratic…

A: Compute the value of the discriminant and give the number of real solutions of the quadratic…

Q: What is the axis of symmetry of the following quadratic equation? y= 2x-4x-5 O x = -1 O x = -5 O x =…

A: The given equation is: y=2x2-4x-5 The objective is to state the axis of symmetry of the given…

Q: Use the discriminant to determine the number and types of solutions of the quadratic equation. x2 -…

A:

Q: In Problem,find the intercepts of each quadratic function

A: Given,f(x)=3x2-2x-8 We know,x-intercepts are those points on the graph of an equation where it…

Q: The discriminant of the quadratic equation 4x+7z-4 0 is O 15

A:

Q: The value of a for which one root of the quadratic equation (a? – 5a + 3) x² + (3a – 1) x + 2 = 0 is…

A: Introduction :

Q: & and ß are the roots of a quadratic equation such that a + B = 2 and aß =. The value 3. *of a' + B?…

A: we have to find the following

Q: Compute the value of the discriminant and give the number of real solutions of the quadratic…

A:

Q: Is √Ax²+Bx+C still a quadratic? Providing that there is a square root in the equation.

A:

Q: Convert the given quadratic equation to vertex form, i.e., y = a(x – h)² + k. y = x2 + 6x – 9

A:

Q: Determine the nature of the roots of each quadratic equation using only the discriminant (DO NOT…

A:

Q: Compute the value of the discriminant and give the number of real solutions of the quadratic…

A:

Q: The discriminant of the quadratic equation 3x2 + 6x - 1 = 0 is [ Select ] and tells us that there…

A: we have to find the discriminant

Q: I. Find the solution sets, discriminant, quadratic equation and describe roots of the following…

A:

Q: Use the discriminant to datermine the number and types of solutions of the quadratic equat -2x= - 3x…

A:

Q: The solutions of the quadratic equation x2 + 4x + 8 = 0 are

A:

Q: If the roots of a quadratic equation: A x 2 + B x + C = 0 are x=5 and x=4/3, then what is the…

A: Consider the given quadratic equation: Ax2+Bx+C=0 Root of the above equation is x=5 and x=43 Here,…

Q: Compute the value of the discriminant and give the number of real solutions of the quadratic…

A:

Q: Find the value of a for which one root of the quadratic equation (a² − 5a +3)x² + (3a-1)x+2=0 is…

A:

Q: If x=2 is a zero, what are the other zeros for the equation.

A: The given problem is solved below in detail.

Q: Consider the quadratic equation y = x² - 4x. If we graph the equation, where are the x-intercepts…

A:

Q: What is the value of the discriminant for the quadratic equation  4x2 -  25=0

A: What is the value of the discriminant for the quadratic equation  4x2 -  25=0

Q: What is the axis of symmetry of the following quadratic equation? y=+8x O x= 8 O x= -4 O x=1 O x = 4

A: Topic = Quadratic equation

Q: If the discriminant of ax2 + bx + c = 0 is positive, the quadratic equation has________ real…

A: We have to fill in the blanks: If the discriminant of ax2+bx+c=0 is positive, the quadratic equation…

Q: Find all real solutions of the equation by completing the square x – 10x + 20 = – 1. and x2 with xị…

A:

Q: Identify a of the following quadratic equation: y = -3x2 + 9x – 6

A: General form of quadratic equation is given by  Y = aX2 + bX + C. a = coefficint of X2. b =…

Q: Find the x-intercepts of the following quadratic equation: 10x2 - 29x + 10 0 Factors of ac that add…

A: Find the x intercept of the given quadratic equation.

Q: Find the discriminant, then use it to determine the number of solutions and the type of solution for…

A: Given equation:- fx=2x2-4x+1

Q: If the discriminant of a quadratic equation is greater than zero, the roots of the equation are:…

A: The polynomial equation whose highest degree is two is called a quadratic equation. The discriminant…

Q: Find the quadratic equation whose roots are three times the roots of 3x2 +2x+3=0.

A: To find the quadratic equation whose roots are three times the roots of the quadratic…