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10th Class Mathematics Quadratic Equations Question Bank Quadratic Equation

  • question_answer
    Find the maximum or minimum value of the quadratic expression,\[{{x}^{2}}-5x\text{+}8\], which ever exists.

    A)  \[y=\frac{1}{2}\]                     

    B)  \[y=\frac{7}{4}\]

    C)  \[y=0\]            

    D)  No solution over real numbers

    Correct Answer: B

    Solution :

    (b): Use the formula and check the coefficient of\[{{x}^{2}}\]. \[f(x)={{x}^{2}}-5x+\frac{25}{4}+8-\frac{25}{4}={{\left( x-\frac{5}{2} \right)}^{2}}+\frac{7}{4}\] \[\therefore \]min value \[=\frac{7}{4}\]


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