IDNStudy.com, ang perpektong platform para magtanong at makakuha ng maaasahang mga sagot. Makakuha ng impormasyon mula sa aming mga eksperto, na nagbibigay ng detalyadong sagot sa lahat ng iyong mga tanong.

solve the quadratic equation using appropriate method


Solve The Quadratic Equation Using Appropriate Method class=

Sagot :

Answer:

  1. x1 = -9 , x2 = 9
  2. x1 = -2 , x2 = 15
  3. x1 = -3 , x2 = -2
  4. m1 = 4, m2 = 3/2
  5. The square root of a negative number does not exist in the set of real numbers

Step-by-step explanation:

1. Square Roots

x² - 81 = 0

x² = 81

√x² = √81

x = ±9

x1 = -9 , x2 = 9

2. Factoring

x² - 13x = 30

x² - 13x - 30 = 0

x² + 2x - 15x - 30 = 0

x × ( x + 2) - 15(x + 2) = 0

(x + 2) × (x - 15) = 0

x + 2 = 0

x1 = -2

x - 15 = 0

x2 = 15

3. Factoring

x² + 5x + 6 = 0

x² + 3x + 2x + 6 = 0

x × (x + 3) + 2(x + 3) = 0

(x + 3) × (x + 2) = 0

x + 3 = 0

x1 = -3

x + 2 = 0

x2 = -2

4. Completing the Square

2m² - 11m + 12 = 0

2m² - 11m = -12

2m² ÷ 2 - 11m ÷ 2 = -12 ÷ 2

m² - 11/2m = -6

m² - 11/2m + 121/6 = -6 + 121/6

(m - 11/4)² = 25/16

√(m - 11/4)² = √25/16

m - 11/4 = ±5/4

m - 11/4 = 5/4

m = 5/4 + 11/4

m = 16/4 ÷ 4/4

m1 = 4

m - 11/4 = -5/4

m = -5/4 + 11/4

m = 6/4 ÷ 2/2

m2 = 3/2

5. Quadratic Formula

- solution and answer ay nasa picture po

View image NCTworld