Question

Solve for x and show your steps. Is the solution extraneous

Answer 1

`√(4x - 3) = 5 \\ { (√(4x - 3) })^(2) = {5}^(2) \\ 4x - 3 = 25 \\ 4x = 25 + 3 \\ 4x = 28 \\ (4x)/(4) = (28)/(4) \\ x = 7`

Steps :

1. First square both expressions to get an equation without square root .

2. Now the equation is like a linear equation , transfer the terms to make x be alone then divide sides to get the answer .

3. Check your solution by substituting 7 in the place of x in the equation that has square root .