Question

Unit Test

Answer 1

Answer:

x =  -6, or x = 7 is the ONLY correct solution of the given equation  $x^{2} + x - 30 = 12.$

Step-by-step explanation:

Here, the given expression is $x^{2} + x - 30 = 12.$

or the standard form of the above expression is $x^{2} + x - 30 - 12 = 0$

or, $x^{2} + x - 42 = 0$

Now, if the equation is of the form$ax^{2} + bx + c = 0$

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.