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    Find the sum of the roots of the quadratic equation 7x² + 28x + 1 = 0.
    Question

    Find the sum of the roots of the quadratic equation 7x² + 28x + 1 = 0.

    A.

    28

    B.

    -1/7

    C.

    1

    D.

    – 4

    Correct option is D

    Given : 

    7x2+28x+1=07x^2+28x+1=0​​

    Concept Used: 

    General form :-  ax2+bx+c=0ax^2+bx+c=0 

    the sum of the roots (SSS) is given by:​

    S=baS=-\frac{b}{a} 

    Solution: 

    Equation:

     7x2+28x+1=07x^2+28x+1=0   

    Here, a=7a = 7a=7, b=28b = 28b=28, and c=1c = 1c=1.​

    Substitute these values into the formula: 

    S=287S=-\frac{28}{7}= - 4

    The sum of the roots of the quadratic equation  7x2+28x+1=07x^2+28x+1=0 is   - 4 .​

    The correct answer is option ( d ) -4


    S=−287S = -\frac{28}{7}

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