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21 April, 10:33

Jenna solved the equation 2x^2 + 5x - 42 = 0. She stated that the solutions to the equation were 7/2 and - 6. Do you agree with Jenna's solution? Explain why or why not.

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  1. 21 April, 12:34
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    Yes. Her solution is correct.

    Step-by-step explanation:

    Let's check if Jenna solution is correct:

    To solve the equation 2x^2 + 5x - 42 = 0, we can use Bhaskara's formula:

    D = b^2 - 4ac = 25 + 4*2*42 = 25+336 = 361

    sqrt (D) = 19

    x1 = (-5 + 19) / 4 = 14/4 = 7/2

    x2 = (-5 - 19) / 4 = - 24/4 = - 6

    We must agree with Jenna's solution, because the values she found as solution are correct: with we replace these values of x in the equation, we will find 0 = 0, which is correct and proves that these values are the solution of the equation.
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