If this equation in x has real roots find the

Halle Marsh

Halle Marsh

Answered question

2022-04-24

If this equation in x has real roots find the value of a and b.
x2+2(1+a)x+(3a2+4ab+4b2+2)=0

Answer & Explanation

Rey Mcmillan

Rey Mcmillan

Beginner2022-04-25Added 11 answers

This equation has a real root then the discriminant must be non-negative.
Δ=4(1+a)24(3a2+4ab+4b2+2)0
3a2+4ab+4b2a22a+10
(a1)2+(a+2b)20
a1=a+2b=0
a=1,b=12.

Do you have a similar question?

Recalculate according to your conditions!

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?