Question

Investigation 4: Quadratic Equations The quadratic equation is typically written in the form and has the solution 2a In this Investigation, we will look at a number of equations, rearrange them to be in this form, and identify which variables correspond to a, b, c, & x in the definition above. Activity 1-8: For each of the expressions, do the following Is it absolutely necessa ry to use the quadratic equation to solve the expression? . egardless of whether you must use the quadratic equation, rearrange the expression and identify terms in the quadratic equation. Determine which numbers or variables correspond to a, b,c, &r in the expression above. a. Expression: b, a= c. Solution(s): 1. Уг-81 0 2. m2=7m a. Expression: c. Solution() a. Expression: b, a# c Solution(s): a. Expression b, a= 3, x2-3x=10 4, 2y2 + 4 = 9y c Solution(s): a. Expression: a. Expression:

Answer 1

ax^2 + bx + c = 0 y^2 - 81 = 0 a. y^2 + 0 middot y - 81 = 0 b. a = 1: b = 0: c = -81 c. y = plusminus 9: x = plusminus squareroot 324/2 m^2 = 7m rightwardsdoublearrow m^2 - 7m = 0 a. m^2 - 7m + 0 = 0 b. a = 1: b = -7, c = 0 c. m = 7, 0: x = 7 plusminus squareroot 49 - 0/2 x^2 - 3x = 10 a. x^2 - 3x - 10 = 0 b. a = 1: b = -3: c = -10 c. 5, -2: x = 3 plusminus 9 + 40/2 2 y^2 + 4 plusminus 9 y a. 2y^2 - 9y + 4 = v b. a = 2: b = -9: c = 4 c. 4: 0.5: x = 9 plusminus squareroot 81 - 32/4 xy^2 = fy - t a. x y^2 - fy + t = 0