SOLUTION: How do I solve this equation 2x + sqrt(x) -1 = 0 for all real numbers?

Question 275940: How do I solve this equation 2x + sqrt(x) -1 = 0 for all real numbers?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
How do I solve this equation 2x + sqrt(x) -1 = 0 for all real numbers?
:
2x + sqrt(x) - 1 = 0
:
sqrt(x) = -2x + 1
Square both sides
x = (-2x+1)^2
:
x = 4x^2 - 4x + 1
:
0 = 4x^2 - 4x -x + 1
:
0 = 4x^2 - 5x + 1
Factor
(4x - 1)(x - 1) = 0
Two solutions
x = 1
and
x = .25
:
Check both solutions in original equation. Only x = .25 satisfies the equation
RELATED QUESTIONS
How do I solve this equation: {{{ sqrt ( 2x-3 ) - sqrt ( x-2 ) = 1... (answered by rothauserc,josgarithmetic)

Find all real number solutions of the equation algebraically: {{{ sqrt (2x+1) }}} -... (answered by ankor@dixie-net.com,Alan3354)

I need to solve the equation {{{x^4+4x^3+2x^2=0}}} for all real numbers. This is what i... (answered by rapaljer)

How do I solve this equation (1 - sqrt... (answered by checkley77,Alan3354)

How do I solve for x in this equation? 6 sqrt(x � 1) =... (answered by JBarnum)

How would I solve this? Find all real solutions of each equation. Please help me... (answered by Alan3354)

I need to solve this equation for x: sqrt(2x-1) - sqrt(x-1) = 1 This is what I have (answered by solver91311)

i need to solve for all real roots... (answered by venugopalramana)

Find the real solutions of each equation. Please help me solve this equation... (answered by Fombitz)