Question

x^2-10x=100. Use a trial and improvement method to find this so,union. Give your answer correct to 1 decimal place. You must show all your working.

Answer 1

To solve the equation x^2-10x=100 using trial and improvement method.

Step-by-step explanation:

Step 1:

Rearrange the equation to put it in the form x^2 - 10x - 100 = 0

Step 2:

Now we can use trial and improvement method to find the roots of the equation.

Let's try x = 12:

12^2 - 10*12 - 100 = 144 - 120 - 100 = 24 - 100 = -76

The value is negative, so now let's try x = 11:

11^2 - 10*11 - 100 = 121 - 110 - 100 = 11 - 100 = -89

The value is still negative, so now let's try x = 10:

10^2 - 10*10 - 100 = 100 - 100 - 100 = 0

When x = 10, the equation equals 0. So the solution is x = 10.

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