Question

Solve: sqrtx+1 +4=2x

Answer 1

\[\sqrt{x} + + 4 = 2x\]

Answer 2

is it \[\sqrt{x + 1} + 4 = 2x\] ???

Answer 3

Harkirat, that is correct

Answer 4

\[\sqrt{x + 1} = 2x -4\]

Answer 5

Got that

Answer 6

square both sides
x + 1 = (2x - 4)²
x + 1 = 4x² - 16x + 16
4x² - 16x - x + 16 - 1 = 0
4x² - 17x + 15 = 0

Can u solve the quadratic equation now ?????

Answer 7

4x² - 17x + 15 = 0
4x² -12x - 5x + 15 = 0
4x(x -3) -5(x - 3) = 0
(4x - 5)(x - 3) = 0
this can be true only if either 4x-5 = 0 or x-3 = 0
if 4x - 5 = 0 ==> x = 5/4
if x - 3 = 0 ==> x = 3