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13 April, 16:33

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.

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  1. 13 April, 16:52
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    x = 19/2 and 1/2

    Step-by-step 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
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