X^2 + 25x -306 =0 completing square method

1.	X^2 + 25x -306 =0 completing square method
Answer» $\huge\purple{\underline{\underline{\pink{Ans}\red{wer:-}}}}$ $\sf{Roots \ are \ 9 \ and -34}$ $\sf\orange{Given:}$ $\sf{The \ given \ quadratic \ equation \ is}$ $\sf{\implies{x^{2}+25x-306=0}}$ $\sf\pink{To \ find:}$ $\sf{The \ roots \ of \ the \ equation.}$ $\sf\green{\underline{\underline{Solution:}}}$ $\sf{The \ given \ quadratic \ equation \ is}$ $\sf{\implies{x^{2}+25x-306=0}}$ $\sf{\implies{Here, \ Coefficient \ of \ x^{2}=1}}$ $\sf{\implies{Coefficient \ of \ x=25}}$ $\sf{\implies{Constant=-306}}$ $\sf{\implies{x^{2}+25x=306}}$ _______________________________ $\sf{\implies{(\frac{1}{2}\times \ Coefficient \ of \ x)^{2}}}$ $\sf{\implies{(\frac{1}{2}\times25)^{2}}}$ $\sf{\implies{(\frac{25}{2})^{2}}}$ $\sf{\implies{\frac{625}{4}}}$ _______________________________ $\sf{Add \ \frac{625}{4} \ on \ both \ sides}$ $\sf{\implies{x^{2}+25x+\frac{625}{4}=306+\frac{625}{4}}}$ $\sf{\implies{x^{2}+25x+\frac{625}{4}=\frac{1224+625}{4}}}$ $\sf{\implies{(x+\frac{25}{2})^{2}=\frac{1849}{4}}}$ $\sf{Taking \ square \ root \ of \ both \ sides}$ $\sf{\implies{x+\frac{25}{2}=\frac{43}{2} \ or \ -\frac{43}{2}}}$ $\sf{\implies{x=\frac{43}{2}-\frac{25}{2} \ or \ -\frac{43}{2}-\frac{25}{2}}}$ $\sf{\implies{x=\frac{18}{2} \ or \ -\frac{68}{2}}}$ $\sf{\implies{x=9 \ or \ -34}}$ $\sf\purple{\tt{\therefore{Roots \ are \ 9 \ and -34}}}$

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$\huge\purple{\underline{\underline{\pink{Ans}\red{wer:-}}}}$