Math Problem Statement
Jika x subscript 1 greater than x subscript 2 greater than x subscript 3 greater than x subscript 4 adalah solusi persamaan suku banyak
x to the power of 4 plus 4 times x cubed minus x squared minus 16 times x minus 12 equals 0,
maka nilai dari
x subscript 1 squared minus x subscript 2 squared plus x subscript 3 squared minus x subscript 4 squared equals....
Solution
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Math Problem Analysis
Mathematical Concepts
Algebra
Polynomial Equations
Difference of Squares
Formulas
x_1^2 - x_2^2 + x_3^2 - x_4^2 = (x_1 - x_2)(x_1 + x_2) + (x_3 - x_4)(x_3 + x_4)
Quartic polynomial: x^4 + 4x^3 - x^2 - 16x - 12 = 0
Theorems
Difference of Squares
Numerical Methods for Solving Polynomials
Suitable Grade Level
Grades 10-12