Respuesta :
Answer:
x=6,-3
Step-by-step explanation:
x²-3x-18=0
Find two numbers that multiply to get -18, and add to get -3!
(These two numbers are -6 and 3)
Now write them in an equation:
(x-6)(x+3)=0
Set both equations equal to 0:
A) x-6=0
B) x-3=0
2A) x=6
2B) x=-3
Either -3 or 6.
You can write this equation as a function, then factor it. You can use the zero-factor rule (I think that’s what it’s called) to find the x-intercepts of the function, where the equation is equal to zero.
y=x^2-3x-18
Factor by grouping;
y=x^2+3x-6x-18
y=x(x+3)-6(x+3)
y=(x+3)(x-6)
When y=0, (x+3)=0 or (x-6)=0
x+3=0 when x=-3, and x-6=0 when x=6
Your possible values of x are -3 and 6.
You can write this equation as a function, then factor it. You can use the zero-factor rule (I think that’s what it’s called) to find the x-intercepts of the function, where the equation is equal to zero.
y=x^2-3x-18
Factor by grouping;
y=x^2+3x-6x-18
y=x(x+3)-6(x+3)
y=(x+3)(x-6)
When y=0, (x+3)=0 or (x-6)=0
x+3=0 when x=-3, and x-6=0 when x=6
Your possible values of x are -3 and 6.