Anonim A
13 September 2023 13:04
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Anonim A
13 September 2023 13:04
Pertanyaan
1.X²+2X-15=0 2.X²+4X-12=0 KERJAKAN DENGAN CARA KUADRAT SEMPURNA
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Sumber W
Community
13 September 2023 13:23
<p>1. x<sup>2</sup> + 2x - 15 = 0</p><p> x<sup>2</sup> + 2x = 15</p><p> x<sup>2</sup> + 2x + (2/2)<sup>2</sup> = 15 + (2/2)<sup>2</sup> </p><p> x<sup>2</sup> + 2x + 1<sup>2</sup> = 15 + 1<sup>2</sup></p><p><sup> </sup>(x + 1)<sup>2</sup> = 16</p><p> x + 1 = ± √16</p><p> x = -1 ± 4</p><p> x<sub>1</sub> = -1 + 4</p><p> = 3 </p><p> x<sub>2</sub> = -1 - 4</p><p> = -5</p><p> </p><p>2. x<sup>2</sup> + 4x - 12 = 0</p><p> x<sup>2</sup> + 4x = 12</p><p> x<sup>2</sup> + 4x + (4/2)<sup>2</sup> = 12 + (4/2)<sup>2</sup> </p><p> x<sup>2</sup> + 4x + 2<sup>2</sup> = 12 + 2<sup>2</sup></p><p><sup> </sup>(x + 2)<sup>2</sup> = 16</p><p> x + 2 = ± √16</p><p> x = -2 ± 4</p><p> x<sub>1</sub> = -2 + 4</p><p> = 2 </p><p> x<sub>2</sub> = -2 - 4</p><p> = -6</p>
1. x2 + 2x - 15 = 0
x2 + 2x = 15
x2 + 2x + (2/2)2 = 15 + (2/2)2
x2 + 2x + 12 = 15 + 12
(x + 1)2 = 16
x + 1 = ± √16
x = -1 ± 4
x1 = -1 + 4
= 3
x2 = -1 - 4
= -5
2. x2 + 4x - 12 = 0
x2 + 4x = 12
x2 + 4x + (4/2)2 = 12 + (4/2)2
x2 + 4x + 22 = 12 + 22
(x + 2)2 = 16
x + 2 = ± √16
x = -2 ± 4
x1 = -2 + 4
= 2
x2 = -2 - 4
= -6
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