let f(x) = 12x^2 +7x-10. Find x such that f(x)=0
a.) -4/5, 5/3
b.) -5/4, 2/3
c.) -2/5, 5/3
d.) -5/3, 2/3
I think I have it. I was able to factor out 12x^2 +7x-10 to
(4x+5) (3x-2)=0
The answer is -5/4 and 2/3
right?
correct.
correct
Thanks
Yes, you are correct!
To solve the equation f(x) = 0, you correctly factored the quadratic equation 12x^2 + 7x - 10 to (4x + 5)(3x - 2) = 0.
Now, to find the values of x that satisfy the equation, you set each factor equal to zero:
(4x + 5) = 0 ⇒ 4x = -5 ⇒ x = -5/4
(3x - 2) = 0 ⇒ 3x = 2 ⇒ x = 2/3
So, the solutions to f(x) = 0 are x = -5/4 and x = 2/3.
Therefore, the correct answer choice is b.) -5/4, 2/3.