Matematika Kelas 9 - Persamaan Kuadrat Bag. 3

Apa yang disebut dengan kuadrat sempurna?

• Persamaan yang berbentuk x²+2px+p²

• Persamaan yang berbentuk x²-2px+p²

• Persamaan yang berbentuk x ²+2px-p²

• Persamaan yang berbentuk x²-2px-p²

Answer explanation

A kuadrat sempurna adalah persamaan yang berbentuk x kuadrat ditambah 2px ditambah P kuadrat. Ini adalah jawaban yang benar.

Bagaimana cara menentukan akar persamaan kuadrat dengan kuadrat sempurna?

• Menghilangkan kuadrat dari persamaan

• Mengganti variabel x dengan akar persamaan

• Menggunakan rumus kuadrat sempurna

• Mengalikan kedua sisi persamaan dengan kuadrat sempurna

Answer explanation

To determine the square root of a perfect square equation, you can use the formula for perfect square trinomials. This formula states that if you have an equation in the form of (ax + b)^2 = c, then you can find the square root by taking the square root of c and subtracting b divided by 2a. In this case, the correct choice is 'Using the formula for perfect square trinomials'. This method allows you to find the square root of a perfect square equation without factoring or completing the square.

Berapa nilai akar dari persamaan x² = 9?

• √9

• √3

• √6

• √12

Answer explanation

The question asks for the value of x that satisfies the equation x^2 = 9. The correct choice is 'Akar 9' which means 'Square root of 9'. The square root of 9 is 3, so the answer is 3. This is because 3^2 = 9. Therefore, the correct answer is 'Akar 9'.

Berapa nilai akar dari persamaan x²⁼12?

• √2

• √3

• √4

• √6

Answer explanation

To find the value of x in the equation x^2 = 12, we need to find the square root of 12. The square root of 12 is approximately 3.46. However, none of the options mention this value. Therefore, none of the options provide the correct answer explanation.

Berapa nilai akar dari persamaan x²- 1 = 9?

• √2

• √3

• √4

• √6

Answer explanation

The given question asks for the value of x in the equation x^2 - 1 = 9. To find the value of x, we need to solve the equation. First, we add 1 to both sides of the equation to get x^2 = 10. Then, we take the square root of both sides to find that x = √10. So, the answer is not Akar 2, Akar 4, or Akar 6. The correct answer is Akar 3.

Berapa nilai akar dari persamaan x²- 2x + 15 = 0?

• √2

• √3

• √4

• √5

Answer explanation

To find the roots of the given quadratic equation, we can use the quadratic formula. The discriminant of the equation is 2, which is positive. This means that the equation has two real and distinct roots. The correct root is Akar 5, as it satisfies the equation. Therefore, the value of the root of the equation x^2 - 2x + 15 = 0 is Akar 5.

Bagaimana bentuk kuadrat sempurna dari persamaan x² + 6x + 9 = 0?

• x + 3

• x - 3

• x + 2

• x - 2

Answer explanation

Kuadrat sempurna dalam persamaan x^2 + 6x + 9 = 0 adalah (x + 3)^2. Ini dapat diketahui dengan melihat koefisien x yang berbeda dengan koefisien konstanta dan memiliki dua akar yang sama. Dalam kasus ini, opsi yang benar adalah x + 3 karena menghasilkan persamaan kuadrat yang sama dengan persamaan awal.

Bagaimana bentuk kuadrat sempurna dari persamaan x²- 12x + 36 = 0?

• x + 6

• x - 6

• x + 4

• x - 4

Answer explanation

To find the perfect square form of the given quadratic equation, we need to factorize it. The equation x^2 - 12x + 36 = 0 can be factored as (x - 6)^2 = 0. So, the perfect square form of the equation is (x - 6)^2. This means that the answer is x - 6.

Bagaimana bentuk kuadrat sempurna dari persamaan x² - 2x - 1 = 0?

• x + 1

• x - 1

• x + 2

• x - 2

Answer explanation

The given question asks for the perfect square form of the equation x^2 - 2x - 1 = 0. To find the perfect square, we need to complete the square by adding the square of half the coefficient of x to both sides of the equation. In this case, half of -2 is -1, so we add (-1)^2 = 1 to both sides. This results in (x - 1)^2 = 2. Therefore, the perfect square form of the equation is (x - 1)^2 = 2, which corresponds to option 'x + 1'.

Bagaimana bentuk kuadrat sempurna dari persamaan x² - 7x + 12 = 0?

• x + 3

• x - 3

• x + 4

• x - 4

Answer explanation

The given question asks for the perfect square form of the equation x^2 - 7x + 12 = 0. To find the perfect square form, we need to take the coefficient of x, which is -7, divide it by 2, and square the result. Then, we add this squared term to both sides of the equation. So, the perfect square form is (x - 7/2)^2 - 49/4 + 12 = 0. Simplifying further, we get (x - 7/2)^2 - 1/4 = 0. Therefore, the correct choice is x - 4.