Question

f(x) = (15x^2 -7x -2)/(x^2 -4)
find the x intercept?

Answer 1

Take y = 0 and cross multiply, we are left with 15x^2 - 7x - 2 which is a quadratic equation.

15x^2 - 7x - 2
Solve by factoring or completing the square or determinant method.

Answer 2

i tried to factor and got it completely wrong, i got x-10 and x+3 @Fall12-13

Answer 3

Nah, try determinant method.

Answer 4

hows that

Answer 5

id rather do it by factoring, thats how my teacher wants it to be done

Answer 6

$$f(x)=\frac{15x^2-7x-2}{x^2-4}\\f(x)=0\\\frac{15x^2-7x-2}{x^2-4}=0\\15x^2-7x-2=0\\15x^2+3x-10x-2=0\\3x(5x+1)-2(5x+1)=0\\(3x-2)(5x+1)=0\\3x-2=0\ \lor\ 5x+1=0\\x\in\left\{\frac23,-\frac15\right\}$$

Answer 7

@oldrin.bataku thanks bro, i got that i just wrote the answer in 2 different sets