solve quadratic equation x^2 − 3√5 + 10 = 0

Question

solve quadratic equation

x^2 − 3√5 + 10 = 0

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Genesis 5 days 2021-10-08T20:41:26+00:00 2 Answers 0 views 0

Answers ( )

    0
    2021-10-08T20:42:48+00:00

    Given :

    • P(x) = x² – 3√5x + 10 = 0

    To Find :

    • Value of x

    Solution :

    → x² – 3√5x + 10 = 0

    → x² – √5x – 2√5x + 10 = 0

    → ( x²- √5x ) + ( – 2√5x + 10 ) = 0

    → x ( x – √5 ) -2√5 ( x – √5 ) = 0

    → ( x – √5 ) ( x – 2√5 ) = 0

    When x – √5 = 0

    → x = √5

    When x – 2√5 = 0

    → x = 2√5

    0
    2021-10-08T20:43:22+00:00

    YOUR QUESTION :

    solve quadratic equation : x^2 − 3√5 + 10 = 0

    YOUR ANSWER :

    Given :

    • P(x) = x^2 − 3√5 + 10 = 0.

    To find :

    • Value of x.

    Solution :

    x² – 3√5x + 10 = 0

    => x² – √5x – 2√5x + 10 = 0

    => ( x² – √5x ) ( – 2√5x + 10 ) = 0

    => x ( x – √5 ) – 2√5 ( x – √5 ) = 0

    => ( x – √5 ) ( x – 2√5 )

    When x – √5 = 0

    => x = √5.

    When x – 2√5 = 0

    => x = 2√5.

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