SOLUTION: Please help. Solve for x. The square root of 2x+7 plus x=4. thanks for your help.

Question 937678: Please help. Solve for x. The square root of 2x+7 plus x=4. thanks for your help.
Found 2 solutions by TimothyLamb, MathLover1:
Answer by TimothyLamb(4379) (Show Source): You can put this solution on YOUR website!
sqrt(2x+7)+ x = 4
sqrt(2x+7) = -x + 4
( sqrt(2x+7) )^2 = (-x + 4)^2
2x + 7 = xx - 8x + 16
xx - 10x + 9 = 0
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the above quadratic equation is in standard form, with a=1, b=-10 and c=9
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to solve the quadratic equation, by using the quadratic formula, copy and paste this:
1 -10 9
into this solver: https://sooeet.com/math/quadratic-equation-solver.php
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the quadratic has two real roots at:
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x = 9
x = 1
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answer:
both values of x are valid solutions to the problem ...
x = 9
x = 1
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Answer by MathLover1(20849) (Show Source): You can put this solution on YOUR website!

........square both sides

....factor completely, write as
...group

solutions:
if =>
if =>

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