Solve 2x+2=x^2-2

akuzativo617

akuzativo617

Answered question

2022-11-15

Solve 2 x + 2 = x 2 - 2

Answer & Explanation

Hector Hamilton

Hector Hamilton

Beginner2022-11-16Added 13 answers

so x 2 - 2 x - 4 = 0 .

Remark that ( x - 2 ) 2 = x 2 - 2 x + 4 , therefore :
x 2 - 2 x - 4 = ( x - 2 ) 2 - 8 .

So, you have to solve ( x - 2 ) 2 = 8 .
Solutions are x - 2 = ± 8 = ± 2 2 , it means
x = 2 - 2 2 or x = 2 + 2 2 .

Finally, calculate corresponding y for each value of x : because y=2x+2, it's easy

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