Question

Find the value of the discriminant of the quadratic equation x square - 4 x class 4 equals to zero will be

Answer 1

$\underline{\textsf{Given:}}$

$\textsf{Equation is}$

$\mathsf{x^2-4x+4=0}$

$\underline{\textsf{To find:}}$

$\textsf{The value of the discriminant of the equation}\,\mathsf{x^2-4x+4=0}$

$\underline{\textsf{Solution:}}$

$\underline{\textsf{Concept used:}}$

$\boxed{\begin{minipage}{9cm} \\\textsf{The discriminant of the quadratic equation}\,\mathsf{ax^2+bx+c=0}\,\textsf{is}\\\\\boxed{\mathsf{\triangle=b^2-4ac}}\\ \end{minipage}}$

$\textsf{Consider}$

$\mathsf{x^2-4x+4=0}$

$\textsf{Here, a=1, b=-4, c=4}$

$\textsf{Now,}$

$\mathsf{\triangle=b^2-4ac}$

$\mathsf{\triangle=(-4)^2-4{\times}1{\times}4}$

$\mathsf{\triangle=16-16=0}$

$\therefore\textsf{The roots of the given equation are equal}$

$\underline{\textsf{Answer:}}$

$\textsf{The value of discriminant is 0}$

Find more:

Find the discriminant for the quadratic equation 2(p2+q2) x2 +2(p+q)x + 1 =0. (p is not equal to q).. Also determine the nature of the roots.Plzzz h

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