Answer:

2. D= 25, real roots / equal roots

3. D= 76, real roots / unequal roots

4. D = -1, imaginary roots

5. D= 3/7, imaginary roots

Step-by-step explanation:

Formula : b²-4ac

D= discriminant

2. a= 1

b= 7

c= 6

D= 7²-4(1)(6)

= 49 - 24

D= 25, the roots are real because 25>0 and it is perfect square, √ 25= 5.

3. a= 1

b= 6

c= -10

D= 6²-4(1)(-10)

= 36+ 40

D= 76 is real roots because 76>0 but it is not perfect square, √76= 8.72

4. 2x= -7-5x

5x +2x= -7

7x= -7

x= -7/7

x = -1 , no real roots because -1<0

5. 2x= -5x+3

5x+2x= 3

7x= 3

x= 3/7, no real roots because 3/7<0