Use algebraic strategies to solve √2x+3=x. How many solutions did you come up with? Which strategies did you use?

x=-1, 3

2 solutions, strategies=quadratic formula

Step-by-step explanation:

1. square the whole equation

(√2x+3) ² = (x) ²

2x+3=x²

since it becomes a quadratic equation, take all terms on one side = to 0

x²-2x-3=0

Use the quadratic formula, because the equation cannot be factored.

x = (-b±√b²-4ac) / 2a

x = ( - (-2) ±√4-4*1*-3) / 2*1

x = (2±√4+12) / 2

x = (2±√16) / 2

x = (2±4) / 2

x=1±2

x=1+2, 1-2

∴x=-1, 3