Question

Using the Quadratic Formula: x = −b ± b2− 4ac√2a solve for the following Quadratic trinomial: x2−10x + 4.75 Explain each step: 1. How did you find the a, b and c? 2. How did you fill in the quadratic formula? Show 3. Where did you start? 4. What are your steps 5. What is your answer.

Answer 1

x = 19/2 and 1/2

Explanation:

General form of a quadratic equation is expressed as:

ax²+bx+c = 0... (1)

The quadratic formula used to find the solution to the equation is given as:

x = -b±√b²-4ac/2a

Given the quadratic trinomial: x²−10x + 4.75... (2)

a) To get a, b and c, we will compare the given equation (2) to the general equation (1)

Based on the comparison,

a = 1, b = -10 and c = 4.75

b) We will substitute this values of a, b and c into the quadratic formula to have;

x = -(-10)±√(-10)²-4(1)(4.75)/2(1)

x = 10±√100-19/2

x = 10±√81/2

x = (10±9)/2

x = (10+9)/2 and (10-9)/2

x = 19/2 and 1/2

The answer to the equation are 19/2 and 1/2