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tiny-mole [99]
3 years ago
11

Prove that there exists a unique real number solution to the equation x3 + x2 − 1 = 0 between x = 2/3 and x=1

Mathematics
1 answer:
ziro4ka [17]3 years ago
7 0
Replace each of the x values given to see if they give 0. 

0=(2/3)³+(2/3)²-1 
0=(8/27)+(4/9)-1 
0≠-0.259

0=(1)³+(1)²-1 
0≠1

Therefore, you can see that the solution would have to be between 2/3 and 1.

Hope I helped :) 
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