Solve 2x² = 324 using the square root property.

Question

Solve 2x² = 324 using the square root property.

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Autumn 1 month 2021-08-21T12:47:03+00:00 1 Answer 0 views 0

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    0
    2021-08-21T12:48:59+00:00

    Step-by-step explanation:

    STEP

    1

    :

    Equation at the end of step 1

    2×2 – 324 = 0

    STEP

    2

    :

    STEP

    3

    :

    Pulling out like terms

    3.1 Pull out like factors :

    2×2 – 324 = 2 • (x2 – 162)

    Trying to factor as a Difference of Squares:

    3.2 Factoring: x2 – 162

    Theory : A difference of two perfect squares, A2 – B2 can be factored into (A+B) • (A-B)

    Proof : (A+B) • (A-B) =

    A2 – AB + BA – B2 =

    A2 – AB + AB – B2 =

    A2 – B2

    Note : AB = BA is the commutative property of multiplication.

    Note : – AB + AB equals zero and is therefore eliminated from the expression.

    Check : 162 is not a square !!

    Ruling : Binomial can not be factored as the difference of two perfect squares.

    Equation at the end of step

    3

    :

    2 • (x2 – 162) = 0

    STEP

    4

    :

    Equations which are never true

    hope it helps

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