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10 cards from this deck
Finding roots of an equation where f(x)=0f(x) = 0f(x)=0.
Look for [a,b][a, b][a,b] where f(a)f(a)f(a) and f(b)f(b)f(b) have opposite signs.
Decimal search or interval bisection methods.
When function is continuous and root isn't repeated.
f(x)=x2+7x−12f(x) = x^2 + 7x - 12f(x)=x2+7x−12 has a root in [1,2][1, 2][1,2].
Plug xxx into the function definition and solve for f(x)f(x)f(x).
A root exists in the continuous interval [1,2][1, 2][1,2].
Must be within [1.8635, 1.8645].
f(1.8635)>0f(1.8635) > 0f(1.8635)>0 and f(1.8645)<0f(1.8645) < 0f(1.8645)<0 shows a change of sign.
Plug xxx into the equation; check if it equals 000.
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