Question

If√x+x=6,then find the value of x?

Answer 1

Answer:

Step-by-step explanation:

√x + x=6

√x = 6 - x

Square on both sides.

(√x)² = (6 - x)²

x = 36 + x² - 12x

x² - 12x + 36 - x = 0

x² - 13x + 36 = 0

x² - 9x - 4x + 36 = 0

x(x - 9) -4 (x - 9) = 0

(x -4)(x -9 ) = 0

x - 4 = 0 or x - 9 = 0

x = 4 or 9