Find all real solutions of the quadratic equation. Use the algebraic method and the graphical method. (a) x? - 4x + 2 = 0 (b) x? – 4x + 4 - 0 (c) x? - 4x + 6 = 0

Q: Use the discriminant to determine the number of real solutions of the equation. Do not solve the…

A: The given equation is x2=6x-9 for a quadratic equation ax2+bx+c=0, the discriminant is D=b2-4ac. If…

Q: Solve for c to complete the square. x^2-3x+c

A: We can find the value of c as below

Q: Solve equations with quadratic function (while showing work) 3x2 + x - 5 = 0 x2 - 5x - 8 = 0 b2 +…

A: There are various methods to solve the quadratic equations. Popular methods are, factoring method…

Q: Solve using the zero-factor property: (a) r² – 5x + 6 = 0 (b) –4z² + z = -3

A: Part a,Given,           x2-5x+6=0

Q: Find the real solutions, if any, of the equation. Use the quadratic formula. Verify your solution…

A: 4+1x-2x2=0 On simplification, we get ⇒4x2+x-2x2=0⇒4x2+x-2=0 Now comparing with ax2+bx+c=0, we get…

Q: Find the real solutions, if any, of the equation. Use the quadratic formula. Verify your solution…

A: 4y2-y+2=0Formula:x=-b±b2-4ac2a

Q: Find all the real the real solutions of the equation 2x^3-x^2+32x-16=0

A:

Q: Use the discriminant to determine the number of real solutions of the equation. Do not solve the…

A: The equation is a statement that consists of equal symbol between two algebraic expressions. The…

Q: Find the real solutions, if any, of the equation. Use the quadratic formula. Verify your solution…

A: We know that, for a standard equation ax2+bx+c=0            ⋯⋯1 The solution of such equation from…

Q: (2x- -3)(x+2)%3DX² – 2x+4

A: We have to solve the given quadratic equation…

Q: Find the real solutions, if any, of the equation. Use the quadratic formula. Verify your solution…

A: Consider the given equation as 9t2-6t+1=0

Q: Find all real solutions of the equation. x1/2 - x-1/2 - 6x-3/2 = 0

A: Given that the equation is x1/2 - x-1/2 - 6x-3/2 = 0 To find the real solution of the given equation…

Q: Solve 2x2 -x-1=0 using the Quadratic Formula. Select all that apply. x=-2 x=-1 1 12 x= 2 no real…

A: To solve the given equation using the quadratic formula

Q: Find all real solutions of the equation. 3x2 + 4x - 1 = 0

A: Given: 3x2+4x-1=0 Formula Used: ax2+bx+c=0x=-b±b2-4ac2a

Q: Solve both problems. Find the quadratic equation in intercept form from the two x-intercepts and the…

A:

Q: Find all real solutions of the equation. x3 - 2x2 - 5x + 10 = 0

A: x3-2x2-5x+10=0

Q: Find all real solutions of the equation. x2/3 - 4 = 0

A:

Q: A company’s revenue can be modeled with a quadratic equation. The company noticed that when they…

A: First of all, consider the general form of quadratic equation.

Q: -5x2+8x-4=0 compute the value of the discrimiant and give the number of real solutions of the…

A:

Q: Find the real solutions, if any, of the equation. Use the quadratic formula. Verify your solution…

A: Given equation, x2+4x+2=0

Q: Find all real solutions of the equation. x5 - 3x2 = 0

A: First, take out the common term from the equation x5-3x2=0. x5-3x2=0x2x3-3=0 Since we know that if…

Q: Use a graphing utility to determine the number of real solutions of the quadratic equation. 1/3x2 −…

A:

Q: Find all real solutions of the equation. x-1/2 - 2x1/2 + x3/2 = 0

A: The rational exponents is a exponents which are having as a fractional numbers. The…

Q: Solve the problem. Find the values of a, b, and c such that the graph of the quadratic equation y =…

A: Please refer the attached image for complete solution.

Q: Use the discriminant to determine the number and types of solutions of the quadratic equation. -3x…

A: Given quadratic equation has two real roots..

Q: Find the real solutions, if any, of the equation. Use the quadratic formula. Verify your solution…

A: Consider the given equation. x2- 4x+2=0 The quadratic formula is defined as. x=-b±b2-4ac2a

Q: Find the real solutions, if any, of the equation. Use the quadratic formula. Verify your solution…

A: Given quadratic equation is x2+6x+1=0. To find the real solutions by using quadratic formula.…

Q: Find the real solutions, if any, of the equation. Use the quadratic formula. Verify your solution…

A: Given that, 4-1x-2x2=0

Q: B. Solve the quadratic equation using appropriate method. 1. x2 - 81 = 0 2. x2 + 5x+ 6 = 0 3. 2x? -…

A: The given equation,1. x2-812. x2+5x+6=03. 2x2-4x+3=0

Q: Find all real solutions of the equation. x2 - 9x + 14 = 0

A: Given equation: x2-9x+14=0

Q: Solve for x by factoring. Must show all work  a) 3x2-12x=0 b) x2+4=-4x c) 3x2-x-10=0

A: (a) We have, ⇒3x2-12x=0⇒3x(x-4)=0         (taking 3x common)∴ 3x=0     and    x-4=0⇒x=0      and…

Q: Find the real solutions, if any, of the equation. Use the quadratic formula. Verify your solution…

A: To find the real solutions, if any of the given quadratic equation:4t2+t+1=0. Solution: We know,…

Q: x² – 2x -1 = 2

A: Please refer the attached image for complete solution. THANK YOU.

Q: Find the real solutions, if any, of the equation. Use the quadratic formula. Verify your solution…

A: To find: The real solution 2xx+2=3. Concept used: Quadratic formula: If quadratic equation…

Q: 3. Given the general form of the quadratic equation, convert it to standard form by completing the…

A:

Q: Find all real solutions of the equation. x3 - 5x2 + 6x = 0

A: Given equation is x3-5x2+6x=0.

Q: Use the discriminant to determine the number of real solutions of the equation. Do not solve the…

A: For a quadratic equation ax2+bx+c=0 its discriminant can be used to determine if there are real…

Q: Find the real solutions, if any, of the equation. Use the quadratic formula. Verify your solution…

A: x2 - 4x - 1 = 0

Q: Find all real solutions of the equation. 2x2 + x - 3 = 0

A: Given equation: 2x2 + x - 3 = 0

Q: Find all real solutions of the equation. x2 - 8x + 12 = 0

A: Given: x2-8x+12=0

Q: solve the polynomial equations byusing the root method, and check the solutions graphically.

A: “Since you have asked multiple question, we will solve the first question for you. If you  want any…

Q: . Solve the quadratic equations. (a) 16x² = 81 (b) 2x? + 3x = 2 (c) x² = x - 3 (d) 2r = 3x + 4

A: To,solve any quadratic equation,first move all the equation to the left hand side and equate the…

Q: Find the real solutions, if any, of the equation. Use the quadratic formula. Verify your solution…

A:

Q: Solve the polynomial equation. Solve the equation 3x3 - 26x2 + 33x + 14 = 0 given that 2 is a zero…

A: Given 3x3-26x2+33x+14=0 And 2 is the zero of the polynomial function.

Q: Fill in the blank with the appropriate number. If the vertex of y= -x +4x -4 lies on the x-axis,…

A: To fill in the blank space.

Q: 3. Algebraically find the vertex of the following quadratic equation. f(x) = 3x? – 12x – 1 and write…

A:

Q: Use the discriminant to determine the number of real solutions of the equation. Do not solve the…

A: Concept - If we have a quadratic equation of the form - ax2+bx+c = 0Then,Discriminant is given by, D…

Q: Find the real solutions, if any, of the equation. Use the quadratic formula. Verify your solution…

A: Given:           34x2-14x-12=0 Compare the given equation with standard quadratic equation:…

Q: Find the real solutions, if any, of the equation. Use the quadratic formula. Verify your solution…

A: Given 23x2-x-3=0

Q: (a) x² + 3x-10 >0

A: