Question

Consider the equation 4x2 - 4x - 15 = 0. a. Identify the values of a, b, and c that you would substitute into the quadratic formula to solve the equation. Use + and - as needed when filling in your answers. a= b = C= b. Evaluate each expression using the values of a, b, and c. Use + and - as needed when filling in your answers. -b= 6²= 4ac = b2 - 4ac =

Answer 1

Part A

a = +4

b = -4

c = -15

Part B

-b = 4

b² = 16

4ac = -240

b² - 4ac = 256

Step-by-step explanation

The quadratic formula is given in the question and the general form of the quadratic equation is given as

ax² + bx + c = 0

We are then asked to name a, b and c, then, write the expressions as they appear in the quadratic formula.

The given quadratic equation is

4x² - 4x - 15 = 0

Comparing this with ax² + bx + c = 0, we can see that

a = +4

b = -4

c = -15

Part B

-b = -(-4) = 4

b² = (-4)² = 16

4ac = 4 (4) (-15) = -240

b² - 4ac = 16 - (-240) = 16 + 240 = 256

Hope this Helps!!!