Given the functions f(x)=x^2-x and g(x)=x^2-3x-12 solve the equation f(x)=6 b solve the equation f(x)=g(x)

Question

Answer 1

To solve the equation

, we need to find the value of

that makes

equal to 6.Given the function

, we can set it equal to 6 and solve for

:

Rearranging the equation, we get:

Factoring the quadratic equation, we have:

Setting each factor equal to zero, we get:

or

Solving for

, we find:

or

Therefore, the solutions to the equation

are

and

.To solve the equation

, we need to find the value of

that makes

equal to

.Given the functions

and

, we can set them equal to each other and solve for

:

Simplifying the equation, we get:

Dividing both sides by 2, we find:

Therefore, the solution to the equation

is

.

Soru