153k views
5 votes
X to the third plus x minus 7 equals -3 square root of x - 1

1 Answer

0 votes

Answer:

x ≈ 1.5004

Explanation:

We suppose your equation is ...


x^3+x-7=-3√(x-1)

Squaring both sides and subtracting the right side gives ...


x^6 +2x^4 -14x^3 +x^2 -23x +58 = 0

This 6th-degree equation has two positive real roots, near x=1.5, and x=2. The root at x=2 is extraneous. The one near x=1.5 is irrational.

X to the third plus x minus 7 equals -3 square root of x - 1-example-1
User Paulius
by
7.8k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories