Solve the following quadratic equations to determine the roots. 5.

The solutions are:

x = − 4 , x = 7

Explanation:

x 2 − 3 x − 28 = 0

We can first factorise this expression by splitting the middle term and then find the solutions:

= x 2 − 7 x + 4 x − 28 = 0

= x ( x − 7 ) + 4 ( x − 7 ) = 0

= ( x + 4 ) ( x− 7 )

Now, we can equate the two factors with zero and find the solutions:

x + 4 = 0 , x = − 4 x− 7= 0 , x = 7

explanation:

step-by-step explanation: