Question

Скоротити дріб

Answer 1

    (х-1)(3х+2)         х-1
= ----------------- = ------------
    (3х-2)(3х+2)       3х-2

3х²-х-2=3(х-1)(х+2/3)=(х-1)(3х+2)
Д=1-4·3·(-2)=25, √Д=5
х1=6/6=1
х2=-4/6=-2/3

Answer 2

Simplifying Fractions

To simplify fractions, you need to find the greatest common divisor (GCD) of the numerator and denominator and divide both by it. Here are some examples:

1. 3/12: - The GCD of 3 and 12 is 3. - Dividing both the numerator and denominator by 3, we get 1/4. - Therefore, 3/12 simplifies to 1/4.

2. 4/12: - The GCD of 4 and 12 is 4. - Dividing both the numerator and denominator by 4, we get 1/3. - Therefore, 4/12 simplifies to 1/3.

3. 6/54: - The GCD of 6 and 54 is 6. - Dividing both the numerator and denominator by 6, we get 1/9. - Therefore, 6/54 simplifies to 1/9.

4. 25/70: - The GCD of 25 and 70 is 5. - Dividing both the numerator and denominator by 5, we get 5/14. - Therefore, 25/70 simplifies to 5/14.

5. 26/65: - The GCD of 26 and 65 is 13. - Dividing both the numerator and denominator by 13, we get 2/5. - Therefore, 26/65 simplifies to 2/5.

6. 12/60: - The GCD of 12 and 60 is 12. - Dividing both the numerator and denominator by 12, we get 1/5. - Therefore, 12/60 simplifies to 1/5.

7. 36/48: - The GCD of 36 and 48 is 12. - Dividing both the numerator and denominator by 12, we get 3/4. - Therefore, 36/48 simplifies to 3/4.

8. 35/105: - The GCD of 35 and 105 is 35. - Dividing both the numerator and denominator by 35, we get 1/3. - Therefore, 35/105 simplifies to 1/3.

9. 480/720: - The GCD of 480 and 720 is 240. - Dividing both the numerator and denominator by 240, we get 2/3. - Therefore, 480/720 simplifies to 2/3.

10. 204/306: - The GCD of 204 and 306 is 102. - Dividing both the numerator and denominator by 102, we get 2/3. - Therefore, 204/306 simplifies to 2/3.

These are the simplified forms of the given fractions. Let me know if you have any further questions!