Solve the radical equation 400−6x3−−−−−−−−√5=4 .(1 point) Responses x=−13−−√3 x equals negative root index 3 Start Root 13 End Root x=−213−−√3 x equals negative 2 root index 3 Start Root 13 End Root x=4 x equals 4 x=56−−√3
To solve the radical equation, we need to isolate the radical term and then square both sides of the equation to eliminate the radical.
Given equation: 400 - 6√(5) = 4
First, subtract 400 from both sides:
-6√(5) = -396
Now, divide both sides by -6:
√(5) = 66
To solve for x, we square both sides of the equation:
(√(5))^2 = 66^2
5 = 4356
This is a contradiction since 5 does not equal 4356. Therefore, there is no solution to the equation.