SOLUTION: I need to find all real or imaginary solutions to this equation.
Use the method of your choice.
√7x+29 = x + 3 note: sqrt extends over 7x
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Question 309012: I need to find all real or imaginary solutions to this equation.
Use the method of your choice.
√7x+29 = x + 3 note: sqrt extends over 7x+29
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
Use the method of your choice.
= x + 3
Square both sides
7x + 29 = (x + 3)^2
FOIL the right sides
7x + 29 = x^2 + 6x + 9
Combine like terms on the right
0 = x^2 + 6x - 7x + 9 - 29
A quadratic equation
x^2 - x - 20 = 0
Factors to
(x-5)(x+4) = 0
two solutions
x = +5
x = -4
;
check both solution in original equation
x = 5
= 5 + 3
= 5 + 3
= 8
8 = 8, a good solution
:
x=-4
= -4 + 3
= -4 + 3
= -1
+1 does not = -1, not a good solution
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