If the system of equations 3x^{2}+2x-1<0 and (3a-2)x-a^2x+2<0 possesses a

Wyatt Flores

Wyatt Flores

Answered question

2022-04-22

If the system of equations 3x2+2x1<0 and (3a2)xa2x+2<0 possesses a solution, find the least natural number a.

Answer & Explanation

Aliana Sexton

Aliana Sexton

Beginner2022-04-23Added 20 answers

Step 1
Inequalities can be sumized in this system:
x<1
a3xx+82x
a3x+x+82x
Step 2
The least natural number is a=4 for x=13.
Other values are:
a=5 for x=16;
a=6 for x=110;
a=7 for x=115;
a=8 for x=121;
a=9 for x=128;
a=10 for x=136; erc...

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