Berapa hasilnya
[tex]4 {x}^{2} + 32x - 80 = 0[/tex]
[tex]4 {x}^{2} + 32x = 80[/tex]
[tex] \frac{4 {x}^{2} }{4} + \frac{32x}{4} = \frac{80}{4} [/tex]
[tex] \frac{\cancel4 {x}^{2} }{\cancel4} + \frac{32x}{4} = \frac{80}{4} [/tex]
[tex] {x}^{2} + \frac{32x}{4} = \frac{80}{4} [/tex]
[tex] {x}^{2} + 8x = 20[/tex]
[tex] {x}^{2} + 8x + ( \frac{8}{2} {)}^{2} = 20+ ( \frac{8}{2} {)}^{2} [/tex]
[tex] {x}^{2} + 8x + {4}^{2} = 20 + {4}^{2} [/tex]
[tex] {x}^{2} + 8x + 16 = 20 + 16[/tex]
[tex] {x}^{2} + 8x + 16 = 36[/tex]
[tex](x + 4 {)}^{2} = 36[/tex]
[tex]x + 4 = \sqrt{36} [/tex]
[tex]x + 4 = \underline + \: 6[/tex]
[tex]x_1 = x + 4 = 6[/tex]
[tex]x_1 = x = 6 - 4[/tex]
[tex]\underline{\boxed{\tt\blue{x_1 = 2}}}[/tex]
[tex]x_2 = x + 4 = - 6[/tex]
[tex]x_2 = x = - 6 - 4[/tex]
[tex]\underline{\boxed{\tt\blue{x_2 = - 10}}}[/tex]
________________
[tex]\bf Hp = \{ \:2,-10\: \}[/tex]
Jawaban:
4x² + 32x - 80 = 0
x² + 8x - 20 = 0
x² + 10x - 2x - 20 = 0
x(x + 10) - 2 (x + 10) = 0
(x + 10) (x - 2) = 0
x + 10 = 0
x - 2 = 0
x = -10
x = 2
x1 = -10, x2 = 2
#maaf kalau salah
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