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Sergeu [11.5K]
3 years ago
7

The roots of the function f(x) = x2 – 2x – 3 are shown. what is the missing number? x = –1 and x =

Mathematics
2 answers:
andrey2020 [161]3 years ago
5 0

we have

f(x)=x^{2}-2x-3

Find the roots

Equate the function to zero

x^{2}-2x-3=0

Group terms that contain the same variable, and move the constant to the opposite side of the equation

x^{2}-2x=3

Complete the square. Remember to balance the equation by adding the same constants to each side.

x^{2}-2x+1=3+1

x^{2}-2x+1=4

Rewrite as perfect squares

(x-1)^{2}=4

Square root both sides

(x-1)=(+/-)2

x=1(+/-)2

x=1+2=3

x=1-2=-1

therefore

<u>the answer is</u>

x=3

Ganezh [65]3 years ago
3 0
X^2 -2x -3 = 0

(x-3)(x+1)=0

x+1=0
x=-1

x-3=0
x = 3 

so the missing number is 3
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