Unit test
active
inl kema
01: 14
use the zero product property to find the solutions to the equation x² + x - 30 = 12.
x = -7 or x = 6
x= -7 or x = -6
x = -6 or x = 7
ox= 6 or x = 7

x =  -6, or x = 7 is the ONLY correct solution of the given equation  

Step-by-step explanation:

Here, the given expression is

or the standard form of the above expression is

or,

Now, if the equation is of the form

Then, b = SUM OF THE ROOTS

and c = PRODUCT OF THE ROOTS

Similarly, in the above expression:

       b = 1 = Sum of roots

and c = -42 = Product of the roots.

Here, for x =  -6, or x = 7:

Sum of Roots = -6 + 7 = 1

Product of roots =  (-6)(7) =  -42

Hence, x =  -6, or x = 7  is the ONLY correct solution of the given equation.