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20 August, 21:26

Select the correct answer.

What is the solution set of y = x2 + 2x + 7 and y=x+77

OA { (0,7), (-1, 6) }

O B. { (0,7), (-7, 0) }

OC. { (0,7), (1,8) }

D. { (-2, 0), (4,0) }

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Answers (1)
  1. 20 August, 22:36
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    A

    Step-by-step explanation:

    Given the 2 equations

    y = x² + 2x + 7 → (1)

    y = x + 7 → (2)

    Substitute y = x² + 2x + 7 into (2)

    x² + 2x + 7 = x + 7 (subtract x + 7 from both sides)

    x² + x = 0 ← factor out x from each term on the left side

    x (x + 1) = 0

    Equate each factor to zero and solve for x

    x = 0

    x + 1 = 0 ⇒ x = - 1

    Substitute these values into (2) for corresponding values of y

    x = 0 → y = 0 + 7 = 7 ⇒ (0, 7)

    x = - 1 → y = - 1 + 7 = 6 ⇒ ( - 1, 6)
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