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

This shows the roots of the equation 2x² + 7x + 3 = 0 are distinct real roots .

Step-by-step explanation:

As given the expression is given in the question .

Thus the part shows the equation is factoring is represented by .

Now as the quadratic equation given is

2x² + 7x + 3 = 0

As the equation in the form ax² + bx + c = 0

a = 2 , b = 7 , c = 3

Thus put all the values in

As

7² = 49

= 25

Thus

This shows the roots of the equation 2x² + 7x + 3 = 0 are distinct real roots .

take the logarithm of both sides (the base of the log doesn't matter):

apply the exponent property - this says that :

distribute the log terms on both sides:

group like terms together:

divide through both sides by the coefficient on :

you can do some additional rewriting here using the properties of the logarithm to simplify things if you like: