7th Class Mathematics Algebraic Expressions Question Bank Algebraic Expressions

  • question_answer
    What is the value of\[a{{x}^{2}}+\text{ }bx+c\text{ }at\text{ }x=\frac{+b}{a}?\]

    A)  a                                

    B) \[{{b}^{2}}-4ac\]

    C) \[c+\frac{2{{b}^{2}}}{a}\]          

    D) \[25{{x}^{2}}+\frac{1}{4{{x}^{2}}}\]

    Correct Answer: C

    Solution :

    (c) \[x=\frac{b}{a}\Rightarrow a\left( \frac{{{b}^{2}}}{{{a}^{2}}} \right)+b\left( \frac{b}{a} \right)+c\] \[=\frac{{{b}^{2}}}{a}+\frac{{{b}^{2}}}{a}+c=c+\frac{2{{b}^{2}}}{a}\]


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