004 Sample Final A, Problem 16

Solve. ${\sqrt {x-3}}+5=x$

Foundations
1) How do you solve for $x$ in the equation ${\sqrt {x}}=5$?
2) How do you find the zeros of $f(x)=x^{2}+x-6$?
Answer:
1) You square both sides of the equation to get $x=25$.
2) You factor Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle f(x)=0} to get Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle (x+3)(x-2)=0} . From here, we solve to get Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle x=-3 } or Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle x=2} .

Solution:

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Step 3:

Step 4:

Final Answer:

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