(C) Given quadratic equation is $m^{2}-18m+81=0$.Comparing this with the standard form $a^{2}-2ab+b^{2}=(a-b)^{2}$,we can write:$m^{2}-2(m)(9)+(9)^{2}

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(C) Given quadratic equation is $m^{2}-18m+81=0$.Comparing this with the standard form $a^{2}-2ab+b^{2}=(a-b)^{2}$,we can write:$m^{2}-2(m)(9)+(9)^{2}=0$This simplifies to:$(m-9)^{2}=0$Therefore:$(m-9)(m-9)=0$Setting each factor to zero:$m-9=0$ or $m-9=0$Solving for $m$:$m=9$ or $m=9$Thus,the roots of the given quadratic equation are $9$ and $9$.

Class 10 Mathematics Quadratic Equations Mix Examples - Quadratic Equations

Medium

Find the roots of the following quadratic equation by the method of completing the square: $m^{2}-18m+81=0$

A
$-9$ and $-9$
B
$9$ and $-9$
C
$9$ and $9$
D
$-9$ and $9$

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Find the roots of the following quadratic equation by the method of completing the square: $m^{2}-18m+81=0$

Similar Questions

Find the roots of the following quadratic equation by the method of completing the square: $2x^{2} - 7x + 3 = 0$.

Which of the following is true for the coefficients and constant term of a quadratic equation $ax^2 + bx + c = 0$?

If the value of the discriminant of the quadratic equation $x^{2} + \sqrt{2}x + 2 = 0$ is .... .

If one root of $x^{2}-5x+6=0$ is also the root of $x^{2}+3x+c=0$,then $c = \ldots$

For a quadratic equation $ax^2 + bx + c = 0$,if $\ldots \ldots \ldots \ldots$ then the roots are distinct and rational.

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