exam Maths Puzzle Numerical Ability

Determine whether each statement given below is true or false.
Let f(x) = x^3-34x^2+349x-1020.

There is a root of the equation F(X)=0 in the open interval (4, 6)

There is

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can someone please help me with this problem:

Evaluate the function at the given value of the independent variable and simplify.


f(x) = x^3 + 3 / x^2 - 3 ; f(3)
Solve the following quadratic equations by using quadratic formula.

2.1y^2-3.5y=4

a(a+2)=-1

6x^2+5x-4=3x-2

4x^2-14x-27=3