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KatRina [158]
3 years ago
6

The roots of the function f(x) = x2 – 2x – 3 are shown. What is the missing number?

Mathematics
2 answers:
poizon [28]3 years ago
8 0

Answer:  The required number is 3.  

Step-by-step explanation:  Given that the roots of the function f(x)=x^2-2x-3 are shown below :

x=-1,x=?

We are to find the missing number.

To find the missing number, we must solve the quadratic equation f(x) = 0.

We have

f(x)=0\\\\\Rightarrow x^2-2x-3=0\\\\\Rightarrow x^2-3x+x-3=0\\\\\Rightarrow x(x-3)+1(x-3)=0\\\\\Rightarrow (x+1)(x-3)=0\\\\\Rightarrow x+1=0,x-3=0\\\\\Rightarrow x=-1,3.

Therefore, the roots of the given equation are x = -1 and x = 3.

Thus, the required number is 3.  

mote1985 [20]3 years ago
7 0

I hope you were looking for this.

please leave me 5 stars if you think it is helpful..

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