D. Describe the nature of the roots of the following quadratic equations. 1. 3x² + 5x + 1 = 0 5. 10n² 4n = 8 2.4x²2x4=0 3.6s² s2 = 0 4. 9t² 2t + 1 = 0 6. 2a(6a-8) + 4 = 39 7.3m NIE m = 0 8.2x - ²+3=0 x

Q: 14. What are the second differences of the quadratic equation y = (x − 3)² - 7? c. 6 a. 2 b. -2 d.…

A: Topic = Quadratic equation Correct option = a

Q: Learning Task 3. Solve for the variable of the following quadratic equations A. by extracting square…

A: Sol:- A. 1.x2=169For x2=fa the solutions are x=fa,  -fax=169, x=-169x=13, x=-132.9b2=25b2=259b=259,…

Q: What is the vertex of the following quadratic equation? y = x +8x O (-4, 16) O (4, -16) O (4, 16) O…

A: It can be expressed as the general form of parabola.

Q: B. Determine whether each of the following is a quadratic equation or not. 1. 2x²+ 6x = 5 %3D 2. 4x?…

A: Given

Q: 7. Solvé the ing equations using the quadratic formula. (Hint: Rewrite each equation so that one…

A:

Q: 12. When should the quadratic formula be used to find the roots of a quadratic equation, ax²+bx+c=0?…

A:

Q: 1. Find the quotient of x3 −5x2 −2x+ 24  by x−4, and then divide the quotient by x−3. What are the…

A: x-4x2-x-6x3-5x2-2x+24-x3∓4x2-x2-2x+24∓x2±4x-6x+24-6x+2400    ∴x3-5x-2x+24=x2-x-6 x-4 —∗…

Q: Lisa solves a quadratic equation as shown below. 6 = x? + 2x - 8 6 = (x + 4)(x- 2) 6 = x + 4 and6 =…

A: The given quadratic equation,    6=x2+2x-8

Q: Which of the following quadratic equations is in standard form? (a) x - 7x = 5 (c) (x + 5)(x – 4) =…

A: A polynomial is basically a function, which can either be quadratic, cubic, and so on in which the…

Q: 1. x2 + 10x + 2 = 0 2. b2-2b- 15 = 0 3. т? 7m + 12 = 0

A: Since you have asked multiple questions in a single request, we will be answering only the first…

Q: 9. The value of q will make the roots of quadratic equation 9x²-4qx+4=0 be equal are A.0 B. q-3,-3…

A:

Q: 1.Determine and state the most efficient way of solving the quadratic equation. Then solve the…

A: Topic- Quadratic Equation

Q: Solve the following quadratic by square rooting. 0 = 3z2 + 18 The solutions are and L. L.

A: Answer

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

A:

Q: 9. Solve each of the following quadratic equations. a. z - 8z + 15 = o b. 2z - 5z - 6 = 0

A:

Q: Solve the following quadratic equation by completing the square. If necessary, round to the nearest…

A:

Q: Place the following equation into quadratic form. -8 = 2 (x + 9)² O 0 = 2x2 – 36x + 170 O 0 = 2x² +…

A: The given equation is -8=2(x+9)2

Q: 3. The murderer's weight is double the sum. of the zeros of the following quadratic equations. 2x2 -…

A: find zeroes of quadratic equation :1.

Q: 8. Solve the equation 7x2 + 6 = 13 using square roots. a. no real solutions b. 1 с. +7 d. ±1 9.…

A: To solve the given equations