Question
Find the values of x for which √x - 2√x+5 =8
Answers
Answered by
GPT 3.5
To solve the equation √x - 2√x + 5 = 8, we can rewrite it as a quadratic equation by letting y = √x.
The equation becomes y - 2y + 5 = 8
Simplify this to get -y + 5 = 8
Subtract 5 from both sides to get -y = 3
This implies y = -3
Now that we have y = -3, we can substitute back in for √x to get:
√x = -3
Square both sides to get x = 9
Therefore, the solution to the equation √x - 2√x + 5 = 8 is x = 9.
The equation becomes y - 2y + 5 = 8
Simplify this to get -y + 5 = 8
Subtract 5 from both sides to get -y = 3
This implies y = -3
Now that we have y = -3, we can substitute back in for √x to get:
√x = -3
Square both sides to get x = 9
Therefore, the solution to the equation √x - 2√x + 5 = 8 is x = 9.
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