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Solve x- 8x = 20 by completing the square. Which is the solution set of the equation?
O {-22, 14}
O {-14, 22}
O {–10,2}
O {-2, 103

Respuesta :

zumar

The right question is

[tex]x ^{2} -8x=20[/tex]

now multiply 1/2 by the coefficient of x which is 8

[tex] \frac{1}{2} \times 8=4[/tex]

now add square of 4 on both side of equation we will get

[tex] {x}^{2} -8x+ {4}^{2} =20+ {4}^{2} [/tex]

[tex](x-4)^2=20+16[/tex]

[tex](x-4)^2=36[/tex]

taking square root on both sides

we get

[tex](x-4)=-+6[/tex]

[tex]x-4=6, x-4=-6[/tex]

[tex]x=6+4 , x=-6+4[/tex]

[tex]x=10,-2[/tex]

so third option is correct

if u find any confusion u can ask me

i hope you will understand it

Thank u

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