Asked by Kendra Gorsline on May 29, 2024
Verified
Find the solution (if any) to the equation. 3x4+x+74=0\sqrt [ 4 ] { 3 x } + \sqrt [ 4 ] { x + 7 } = 043x+4x+7=0
A) x= −74- \frac { 7 } { 4 }−47
B) x=-4
C) x=x =x= 72\frac { 7 } { 2 }27
D) x=0x = 0x=0
E) no solution
Radical Equation
An equation in which the variable is contained inside a radical symbol or has a rational exponent.
Fourth Root
The number that when multiplied by itself three times equals the original number.
- Determine solutions for elementary equations with radicals.
Verified Answer
KH
Kumul HooksJun 02, 2024
Final Answer :
E
Explanation :
We cannot take the fourth root of a negative number (since an even root of a negative number is imaginary). Therefore, there is no real solution to this equation.
Learning Objectives
- Determine solutions for elementary equations with radicals.