Solve the following quadratic equations: 14x² + 9x + 1 = 0 its urgent plazz reply 18

Question

Solve the following quadratic equations: 14x² + 9x + 1 = 0 its urgent plazz reply

18

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Everleigh 24 hours 2021-11-25T13:24:59+00:00 2 Answers 0 views 0

Answers ( )

    0
    2021-11-25T13:26:01+00:00

    Given :-

    14x {}^{2}  + 9x + 1 =  0 \\  \\

    What to find out =Roots of the equation?

    Solution :-

    Factorise by splitting middle term

    14 {x}^{2}  + 9x + 1 = 0 \\  \\ 14 {x}^{2}  + 7x + 2x + 1 = 0 \\  \\ 7x(2x + 1) + 1(2x + 1) = 0 \\  \\ (2x + 1)(7x + 1) = 0 \\  \\

    Now split it into possible cases

    (2x + 1) = 0 \\  \\ (7x + 1) = 0

    Hence,

    x_1 = ( -  \frac{1}{2} ) \\  \\ x_2 = ( -  \frac{1}{7} )

    Extra information :-

    • An equation containing a single variable of degree 2. Its general form is ax^2 + bx + c = 0, where x is the variable and a, b, and c are constants (a ≠ 0).
    0
    2021-11-25T13:26:32+00:00

    Step-by-step explanation:

    Sum = 9 Prod = 14

    14x² + 7x + 2x + 1 = 0

    7x ( 2x +1 ) + 1 ( 2x + 1)

    ( 7x +1) ( 2x +1 )

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