Solve Radical Equations
Solve the radical equation, and check all proposed solutions.
-$$y = \sqrt { 3 x - 2 } + \sqrt { 11 + x } + 1$$
A) No $x$-intercepts
B) 0
C) $- \frac { 5 } { 2 }$
D) 5

Question

Quizplus · Accepted Answer

The equation given is in terms of $y$, and it involves square roots which are always positive or zero (for non-negative radicands) and a constant term $+1$. This means the output $y$ will always be positive or at least 1 when the radicands are zero, indicating that the equation will never cross the $x$-axis, hence no $x$-intercepts.

Solve Radical Equations Solve the Radical Equation, and Check All y=3x−2+11+x+1y = \sqrt { 3 x - 2 } + \sqrt { 11 + x } + 1y=3x−2​+11+x​+1

Solve Radical Equations
Solve the Radical Equation, and Check All $y = \sqrt { 3 x - 2 } + \sqrt { 11 + x } + 1$