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`f(x)= x^2 + x^2 +x -2`
We will use the substitution to find the approximate root.
From the graph below, we notice that the root is between 0 and 1.
==> x=0 ==> f(0)= -2
==> x= 1==> f(1)= 1
Then the root between 0 and 1
We will try x= 1/2
==> x= 1/2 ==> f(1/2)= -1.125
Now we know that the root between 1/2 and 1.
We will try 3/4
==> f(3/4)= -0.265625
Then, we notice that the root is located between 3/4 and 1.
Then, `x in (3/4, 1)`
Oh, never mind. I guess you're just supposed to guess some solutions and try them. Thanks again.
Thanks! But how do you solve it without using that graph? :S We are not allowed to use calculators and it's pretty hard to draw such a perfect graph
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