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Answers
Answer:
Ans.40
Step-by-step explanation:

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sqrt(2x+9)+x=13
One solution was found :
x = 8
Radical Equation entered :
√2x+9+x = 13
Step by step solution :
Step 1 :
Isolate the square root on the left hand side :
Original equation
√2x+9+x = 13
Isolate
√2x+9 = -x+13
Step 2 :
Eliminate the radical on the left hand side :
Raise both sides to the second power
(√2x+9)2 = (-x+13)2
After squaring
2x+9 = x2-26x+169
Step 3 :
Solve the quadratic equation :
Rearranged equation
x2 - 28x + 160 = 0
This equation has two rational roots:
{x1, x2}={20, 8}
Step 4 :
Check that the first solution is correct :
Original equation, root isolated
√2x+9 = -x+13
Plug in 20 for x
√2•(20)+9 = -(20)+13
Simplify
√49 = -7
Solution does not check
7 ≠ -7
Step 5 :
Check that the second solution is correct :
Original equation, root isolated
√2x+9 = -x+13
Plug in 8 for x
√2•(8)+9 = -(8)+13
Simplify
√25 = 5
Solution checks !!
Solution is:
x = 8
One solution was found :
x = 8
Step-by-step explanation:
28 answer
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