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Replace the values of mand n to show the solutions of this equation.X^2+ 6x – 5 = 0

Replace The Values Of Mand N To Show The Solutions Of This EquationX2 6x 5 0 class=

Sagot :

Given the quadratic equation below

[tex]x^2+6x-5=0[/tex]

Using the method of completing the square we have that:

[tex]\begin{gathered} (x^2+6x)-5=0 \\ (x+3)^2-9-5=0 \\ (x+3)^2-14=0 \end{gathered}[/tex][tex]\begin{gathered} (x+3)^2=14 \\ (x+3)=\pm\sqrt[]{14} \\ x=-3\pm\sqrt[]{14} \end{gathered}[/tex]

Hence, from the above solution, the value of m is -3 and n is √14

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