liam172488
liam172488
15-10-2021
Mathematics
contestada
Solve for x:
(x -3)(x +5) = 9
Respuesta :
DᴀʀᴋPᴀʀᴀᴅᴏx
DᴀʀᴋPᴀʀᴀᴅᴏx
15-10-2021
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
let's solve for x :
[tex](x - 3)(x + 5) = 9[/tex]
[tex] {x}^{2} + 5x - 3x - 15 = 9[/tex]
[tex] {x}^{2} + 2x - 15 - 9 = 0[/tex]
[tex] {x}^{2} + 2x - 24 = 0[/tex]
[tex] {x}^{2} + 6x - 4x - 24 = 0[/tex]
[tex] x(x + 6) - 4(x + 6) = 0[/tex]
[tex](x + 6)(x - 4) = 0[/tex]
so,
[tex]x = - 6[/tex]
or
[tex]x = 4[/tex]
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