Step by Step Solution
Reformatting the input :
Changes made to your input should not affect the solution:
(1): "x7" was replaced by "x^7".
Step by step solution :
Step 1 :
Polynomial Roots Calculator :
1.1 Find roots (zeroes) of : F(x) = -x7+12
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 12 and the Trailing Constant is -1.
The factor(s) are:
of the Leading Coefficient : 1,2 ,3 ,4 ,6 ,12
of the Trailing Constant : 1
Let us test ....
| P | Q | P/Q | F(P/Q) | Divisor | |||||
|---|---|---|---|---|---|---|---|---|---|
| -1 | 1 | -1.00 | 13.00 | ||||||
| -1 | 2 | -0.50 | 12.01 | ||||||
| -1 | 3 | -0.33 | 12.00 | ||||||
| -1 | 4 | -0.25 | 12.00 | ||||||
| -1 | 6 | -0.17 | 12.00 | ||||||
| -1 | 12 | -0.08 | 12.00 | ||||||
| 1 | 1 | 1.00 | 11.00 | ||||||
| 1 | 2 | 0.50 | 11.99 | ||||||
| 1 | 3 | 0.33 | 12.00 | ||||||
| 1 | 4 | 0.25 | 12.00 | ||||||
| 1 | 6 | 0.17 | 12.00 | ||||||
| 1 | 12 | 0.08 | 12.00 |
Polynomial Roots Calculator found no rational roots
Equation at the end of step 1 :
12 - x7 = 0
Step 2 :
Solving a Single Variable Equation :
2.1 Solve : -x7+12 = 0
Subtract 12 from both sides of the equation :
-x7 = -12
Multiply both sides of the equation by (-1) : x7 = 12
x = 7th root of (12)
The equation has one real solution
This solution is x = 7th root of 12 = 1.4262
One solution was found :
x = 7th root of 12 = 1.4262How did we do?
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