solve the system of equations: y = 2x y= x2 – 3 ANSWERS: a. (-1, -2) and (3, 6) b. (-2, -4) and (2, 4)

Question

solve the system of equations:
y = 2x
y= x2 – 3

ANSWERS:
a. (-1, -2) and (3, 6)
b. (-2, -4) and (2, 4)
c. (-1, 2) and (3, 2)
d. (-2, 1) and (2, 1)

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Khánh Gia 4 years 2021-08-21T21:15:39+00:00 1 Answers 11 views 0

Answers ( )

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    2021-08-21T21:17:28+00:00

    (-1,-2) \:  \:  \:  \:  \: and \:  \:  \:  \:  \: (3,6) \\ Answer: A

    Step-by-step explanation:

    y = 2x \\ y =  {x}^{2}  - 3 \\  \\ 2x =  {x}^{2}  - 3 \\  {x}^{2}  - 2x - 3 = 0 \\ (x + 1)(x - 3) = 0 \\ x + 1 = 0 \:  \:  \:  \:  \: or \:  \:  \:  \:  \: x - 3 = 0 \\ x =  - 1 \:  \:  \:  \:  \: or \:  \:  \:  \:  \: x = 3

    When x = -1

    Substitute x = -1 into y = 2x

    y = 2(-1)

    y = -2

    ( -1, -2)

    When x = 3

    Substitute x = 3 into y = 2x

    y = 2(3)

    y = 6

    ( 3, 6)

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Giải phương trình 1 ẩn: x + 2 - 2(x + 1) = -x . Hỏi x = ? ( )