Answer:
x = 1 , x = - 2
Step-by-step explanation:
If f(x) = x² + 3x - 5 and g(x) = 2x - 3, determine each.
We want to find x when f(x) = g(x)
So essentially we are find the value of x when the equation f(x) ( x² + 3x - 5 ) equals the equation g(x) (2x - 3)
In other words we want to find the value of x when...
x² + 3x - 5 = 2x - 3
we now solve for x
x² + 3x - 5 = 2x - 3
first step is to put the equation in quadratic form
ax² + bx + c = 0
To do so we simply subtract (2x - 3) from both sides
From doing so we acquire
x² + 3x - 5 - (2x - 3) = 2x - 3 - ( 2x - 3 )
combine like terms
x² + x - 2 = 0
Now we can solve by factoring
From factoring we acquire
(x−1)(x+2)=0
We then set each factor to 0 and solve for x
x - 1 = 0 x + 2 = 0
add 1 to both sides subtract 2 from both sides
x = 1 x = - 2
and we are done!
