Question

2x−5√x+2=0

quadratic equations

Answer 1

let √x = y
then:
2y^2 - 5y + 2 = 0
(2y -1)(y -2) = 0
y = 1/2 or y = 2

√x = 1/2 ----> x = 1/4
or
√x = 2 ------> x = 4

or

2x+2 = 5√x
square both sides:
4x^2 + 8x + 4 = 25x
4x^2 - 17x + 4 = 0
(x - 4)(4x - 1) =0
x = 4 or x = 1/4

btw, in both solutions, my answers have to verified since we used squaring the the process.
Luckily both answers work.

Answer 2

Ty! :)

Answer 3

or, just factor it:

(√x-2)(2√x-1) = 0
√x = 2 or 1/2