Obtain the roots of the following equation us | vedclass

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Question

(B) To solve the equation $m^{2} - 18m + 81 = 0$ by the method of completing the square:$1$. The equation is already in the form $m^{2} - 18m = -81$.$

Vedclass · Accepted Answer

$9, 9$

Vedclass · Answer

(B) To solve the equation $m^{2} - 18m + 81 = 0$ by the method of completing the square:$1$. The equation is already in the form $m^{2} - 18m = -81$.$2$. To complete the square,we add the square of half the coefficient of $m$ to both sides. The coefficient of $m$ is $-18$,so half of it is $-9$,and $(-9)^{2} = 81$.$3$. Adding $81$ to both sides: $m^{2} - 18m + 81 = -81 + 81$.$4$. This simplifies to $(m - 9)^{2} = 0$.$5$. Taking the square root of both sides,we get $m - 9 = 0$,which implies $m = 9$.$6$. Since it is a quadratic equation,the roots are $9, 9$.

Obtain the roots of the following equation using the method of 'completing the square': $m^{2} - 18m + 81 = 0$

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