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.

Question

Mathematics

Blake Hammond

11 November, 19:34

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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Answers (1)

Know the Answer?

Eleanor Keller · Answer 1

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.