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just olya [345]
3 years ago
9

Which of the following equations have only one solution? Select all correct answers. 4x 2 + 4x = 0 x 2 + 6x + 9 = 0 9x 2 - 25 =

0 5x 2 + 20x + 20 = 0 x 2 - x - 6 = 0
Mathematics
2 answers:
Olin [163]3 years ago
7 0
The equations which have only one solution are: x²+6x+9=0 and 5x²+20x+20=0, 
Phoenix [80]3 years ago
3 0

Answer:

2nd and 4th equation will have only one solution.

Step-by-step explanation:

1). 4x² + 4x = 0

4x(x + 1) = 0

x = 0

or (x + 1) = 0 ⇒ x = -1

2). x² + 6x + 9 = 0

(x + 3)² = 0

(x + 3) = 0

x = -3

3). 9x² - 25 = 0

9x² = 25

x² = \frac{25}{9}

x = ±\sqrt{\frac{25}{9} }

x = ±\frac{5}{3}

4). 5x² + 20x + 20 = 0

5(x² + 4x + 4) = 0

(x + 2)²= 0

x + 2 = 0

x = -2

5). x² - x - 6 = 0

x² - 3x + 2x - 6 = 0

x(x - 3) + 2(x - 3) = 0

(x + 2)(x - 3) = 0

x = -2 or x = 3

Therefore, 2nd and 4th equations have only one solution.

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