Question

X to the third plus x minus 7 equals -3 square root of x - 1

Answer 1

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.