Decide which part of the quadratic formula tells you whether the quadratic equation can be solved by factoring.

−b b2 − 4ac 2a

Use the part of the quadratic formula that you chose above and find its value given the following quadratic equation:

2x2 + 7x + 3 = 0

Question

Decide which part of the quadratic formula tells you whether the quadratic equation can be solved by factoring. 

            −b             b2 − 4ac            2a 

Use the part of the quadratic formula that you chose above and find its value given the following quadratic equation: 

2x2 + 7x + 3 = 0

anonymous · Answer

b^2-4ac.

If b^2-4ac is a perfect square then it implies that roots are rational and hence u can factor up the equation.

Comparing with ax^2+bx+c = 0, 

a = 2, b = 7, c = 3

b^2-4ac = 7^2 - 4.2.3. = 49-24 = 25.