SOLUTION: Find the x-intercept(s) of the graph of the function without graphing the function. {{{ f(x) = sqrt(2x+21)- sqrt(2x)-3 }}}

Algebra ->  Radicals -> SOLUTION: Find the x-intercept(s) of the graph of the function without graphing the function. {{{ f(x) = sqrt(2x+21)- sqrt(2x)-3 }}}      Log On


   

Question 629009: Find the x-intercept(s) of the graph of the function without graphing the function.
+f%28x%29+=+sqrt%282x%2B21%29-+sqrt%282x%29-3+
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!




Set the function equal to zero since zero is the value of the function at the intercept(s). Solve for



Add to both sides:



Square both sides



Collect like terms



Multiply by



Square both sides



Solve for , then check your answer by substitution into the original equation.

John

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