Solve the radical equation 3x2−10−−−−−−√5+7=4 to find the two solutions.(1 point) x =

Answer 1

To solve the equation \( \sqrt{3x^2 - 10} + 7 = 4 \), we first isolate the square root term.

1. Subtract 7 from both sides: \[ \sqrt{3x^2 - 10} = 4 - 7 \] \[ \sqrt{3x^2 - 10} = -3 \]

Since the left side of the equation (the square root) must be non-negative, and the right side is negative, there are no solutions to this equation.

Thus, the conclusion is that there are no valid values for \( x \) that satisfy the given equation. The answer is:

\( x = \) (no solution)