Question

x = 2+ √3 + √4,
x^4 - 8x^3 + 10x^2 + 24x = ?​

Answer 1

Step-by-step explanation:

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "x2" was replaced by "x^2". 2 more similar replacement(s).

Step by step solution :

STEP

1

:

Equation at the end of step 1

((((x4)-(8•(x3)))+(2•5x2))-24x)+5 = 0

STEP

2

:

Equation at the end of step

2

:

((((x4) - 23x3) + (2•5x2)) - 24x) + 5 = 0

STEP

3

:

Polynomial Roots Calculator :

3.1 Find roots (zeroes) of : F(x) = x4-8x3+10x2-24x+5

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 5.

The factor(s) are:

of the Leading Coefficient : 1

of the Trailing Constant : 1 ,5

Let us test ....

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

-1 1 -1.00 48.00

-5 1 -5.00 2000.00

1 1 1.00 -16.00

5 1 5.00 -240.00

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