Question

The equation x^3-3x=1 has a solution between 1.8 and 1.9. use a trial and improvement method to find this solution. give your answer correct to 2 decimal places.

HELPPPPPP I HAVE BEEN TRYING FOR AGES

Answer 1

1.88 to 2 decimal places

Explanation:

First, I plugged in 1.8 and 1.9:

1.8^3-3*1.8=0.432

1.9^3-3*1.9=1.159

Then, I plugged in 1.85:

1.85^3-3*1.85=0.78

Next, I plugged in 1.87 to get the answer closer to 1:

1.87^3-3*1.87=0.93

Finally, I plugged in 1.88 to get even closer to 1:

1.88^3-3*1.88=1.00

Hope this helps!

Answer 2

Explanation:

1.8=-0.568 is too small

1.9=0.159 is too big

1.87=-0.70797 is too small

1.88=0.004672 is too big

Next, I plugged in 1.87 to get the answer closer to 1:

1.87^3-3*1.87=0.93

Finally, I plugged in 1.88 to get even closer to 1:

1.88^3-3*1.88=1.00

1.875=-0.033203125 is too small

so it should be 1.88 to 2 decimal places