Answer:
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
