MATEMATIKAH LATIHAN SOAL 2

LATIHAN SOAL 2 (Melengkapkan Kuadrat Sempurna)

Contoh:

x² + 6x +

(

⁶2

)

^{2 = 0 x2} + 6x + 9 = 0 (x + 3)(x + 3) = 0 (x + 3)² = 0 x = ….

Isilah titik-titik berikut sebagai langkah mencari akar-akar dengan melengkapkan kuadrat sempurna.

1. x² + 2x +

( ^{… .}

2

)

^{2 = 0 x2} + 2x + …. = 0 (x + … )(x + … ) = 0 (x + … )² = 0 x = ….

2. x² + 8x +

( ^{… .} … . )

^{2 = 0 x2} + 8x + …. = 0 (x + … )(x + … ) = 0 (x + … )² = 0 x = ….

3. x² –10x +

( ^{… .}

2

)

^{2 = 0 x2} – 10x + …. = 0 (x – … )(x – … ) = 0 (x – … )² = 0 x = ….

4. x² –12x +

( ^{… .} … . )

^{2 = 0 x2} – ….x + …. = 0 (x – … )(x – … ) = 0 (x – … )² = 0 x = ….

5. x² + 5x +

( ^{… .}

2

)

^{2 = 0 x2} + 5x + …. = 0 (x + … )(x + … ) = 0 (x + …)² = 0 x = ….

6. x² – 7x +

( ^{… .} … . )

^{2 = 0 x2} – ….x + …. = 0 (x – … )(x – … ) = 0 (x – … )² = 0 x = ….

LATIHAN SOAL 2 (Melengkapkan Kuadrat Sempurna)

Contoh:

x² + 6x +

(

⁶2

)

^{2 = 0 x2} + 6x + 9 = 0 (x + 3)(x + 3) = 0 (x + 3)² = 0 x = ….

Isilah titik-titik berikut sebagai langkah mencari akar-akar dengan melengkapkan kuadrat sempurna.

1. x² + 2x +

( ^{… .}

2

)

^{2 = 0 x2} + 2x + …. = 0 (x + … )(x + … ) = 0 (x + … )² = 0 x = ….

2. x² + 8x +

( ^{… .} … . )

^{2 = 0 x2} + 8x + …. = 0 (x + … )(x + … ) = 0 (x + … )² = 0 x = ….

3. x² –10x +

( ^{… .}

2

)

^{2 = 0 x2} – 10x + …. = 0 (x – … )(x – … ) = 0 (x – … )² = 0 x = ….

4. x² –12x +

( ^{… .} … . )

^{2 = 0 x2} – ….x + …. = 0 (x – … )(x – … ) = 0 (x – … )² = 0 x = ….

5. x² + 5x +

( ^{… .}

2

)

^{2 = 0 x2} + 5x + …. = 0 (x + … )(x + … ) = 0 (x + …)² = 0 x = ….

6. x² – 7x +

( ^{… .} … . )

^{2 = 0 x2} – ….x + …. = 0 (x – … )(x – … ) = 0 (x – … )² = 0 x = ….

LATIHAN SOAL 2 (Melengkapkan Kuadrat Sempurna)

Contoh:

x² + 6x +

(

⁶2

)

^{2 = 0 x2} + 6x + 9 = 0 (x + 3)(x + 3) = 0 (x + 3)² = 0 x = ….

Isilah titik-titik berikut sebagai langkah mencari akar-akar dengan melengkapkan kuadrat sempurna.

1. x² + 2x +

( ^{… .}

2

)

^{2 = 0 x2} + 2x + …. = 0 (x + … )(x + … ) = 0 (x + … )² = 0 x = ….

2. x² + 8x +

( ^{… .} … . )

^{2 = 0 x2} + 8x + …. = 0 (x + … )(x + … ) = 0 (x + … )² = 0 x = ….

3. x² –10x +

( ^{… .}

2

)

^{2 = 0 x2} – 10x + …. = 0 (x – … )(x – … ) = 0 (x – … )² = 0 x = ….

4. x² –12x +

( ^{… .} … . )

^{2 = 0 x2} – ….x + …. = 0 (x – … )(x – … ) = 0 (x – … )² = 0 x = ….

5. x² + 5x +

( ^{… .}

2

)

^{2 = 0 x2} + 5x + …. = 0 (x + … )(x + … ) = 0 (x + …)² = 0 x = ….

6. x² – 7x +

( ^{… .} … . )

^{2 = 0 x2} – ….x + …. = 0 (x – … )(x – … ) = 0 (x – … )² = 0 x = ….