SOLUTION: 15. Solve the equation. Identify any extraneous solutions. x= sqrt-7x+8 A. 8 is a solution to the original equation. The value –1 is an extraneous solution. B.1 and

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Question 397364: 15. Solve the equation. Identify any extraneous solutions.
x= sqrt-7x+8


A. 8 is a solution to the original equation. The value –1 is an extraneous solution.
B.1 and –8 are solutions.
C.1 and 8 are both extraneous solutions.
D.1 is a solution to the original equation. The value –8 is an extraneous solution.
Answer by MathLover1(20850)   (Show Source): You can put this solution on YOUR website!

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Solved by pluggable solver: Quadratic Formula
Let's use the quadratic formula to solve for x:


Starting with the general quadratic





the general solution using the quadratic equation is:







So lets solve ( notice , , and )





Plug in a=1, b=7, and c=-8




Square 7 to get 49




Multiply to get




Combine like terms in the radicand (everything under the square root)




Simplify the square root (note: If you need help with simplifying the square root, check out this solver)




Multiply 2 and 1 to get 2


So now the expression breaks down into two parts


or


Lets look at the first part:





Add the terms in the numerator

Divide


So one answer is






Now lets look at the second part:





Subtract the terms in the numerator

Divide


So another answer is




So our solutions are:

or




B. 1 and –8 are solutions
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