Question

x^3-4x-10=0 solve bisection method​

Answer 1

Answer:

Step-by-step explanation:

2.1 Find roots (zeroes) of : F(x) = x3+4x2-10

Polynomial Roots Calculator is a set of methods aimed at finding values of x for which F(x)=0

Rational Roots Test is one of the above mentioned tools. It would only find Rational Roots that is numbers x which can be expressed as the quotient of two integers

The Rational Root Theorem states that if a polynomial zeroes for a rational number P/Q then P is a factor of the Trailing Constant and Q is a factor of the Leading Coefficient

In this case, the Leading Coefficient is 1 and the Trailing Constant is -10.

The factor(s) are:

of the Leading Coefficient : 1

of the Trailing Constant : 1 ,2 ,5 ,10

Let us test ....

P Q P/Q F(P/Q) Divisor

-1 1 -1.00 -7.00

-2 1 -2.00 -2.00

-5 1 -5.00 -35.00

-10 1 -10.00 -610.00

1 1 1.00 -5.00

2 1 2.00 14.00

5 1 5.00 215.00

10 1 10.00 1390.00

Polynomial Roots Calculator found no rational roots

Equation at the end of step 2 :

x3 + 4x2 - 10 = 0

Step 3 :

Cubic Equations :

3.1 Solve x3+4x2-10 = 0

Future releases of Tiger-Algebra will solve equations of the third degree directly.