Step by Step Solution
Radical Equation entered :
√8x-15 = 3-x
Step by step solution :
Step 1 :
Isolate the square root on the left hand side :
Radical already isolated
√8x-15 = 3-x
Step 2 :
Eliminate the radical on the left hand side :
Raise both sides to the second power
(√8x-15)2 = (3-x)2
After squaring
8x-15 = x2-6x+9
Step 3 :
Solve the quadratic equation :
Rearranged equation
x2 - 14x + 24 = 0
This equation has two rational roots:
{x1, x2}={12, 2}
Step 4 :
Check that the first solution is correct :
Original equation
√8x-15 = 3-x
Plug in 12 for x
√8•(12)-15 = 3-(12)
Simplify
√81 = -9
Solution does not check
9 ≠ -9
Step 5 :
Check that the second solution is correct :
Original equation
√8x-15 = 3-x
Plug in 2 for x
√8•(2)-15 = 3-(2)
Simplify
√1 = 1
Solution checks !!
Solution is:
x = 2
One solution was found :
x = 2How did we do?
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