Consider the following function r(x)=-(x+5)^2+2

gaby131o

gaby131o

Answered question

2022-09-20

Consider the following function
r ( x ) = ( x + 5 ) 2 + 2

Answer & Explanation

Cremolinoer

Cremolinoer

Beginner2022-09-21Added 11 answers

Given r ( x ) = ( x + 5 ) 2 + 2
so
0 = ( x + 5 ) 2 + 2 ( x + 5 ) 2 + 2 = 0 ( x 2 + 2 x × 5 + 5 2 ) + 2 = 0 x 2 10 x 25 + 2 = 0 x 2 10 23 = 0 x 2 + 10 x + 23 = 0
Now we can solve this equation using quadratic formula
x = 10 ± 10 2 4 × 23 2 × 1 x = 10 ± 100 92 2 x = 10 ± 8 2 x = 10 ± 4 × 2 2 x = 2 ( 5 ± 2 2 ) x = 5 ± 2

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