Find the range of a for the following

Dakota Livingston

Dakota Livingston

Answered question

2022-04-07

Find the range of a for the following quadratic equation.
f(x)=x2+(a+3)|x|+4=0

Answer & Explanation

Emelia Leon

Emelia Leon

Beginner2022-04-08Added 18 answers

Step 1
f(x)=x2+(a+3)|x|+4=0
IS α and β are roots of the equation,
α+β=(a+3)
αβ=4
If a3, the quadratic has both negative roots but |x| cannot be negative.
Hence the only solution that works is a(,7)

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