Question

√2x+3-√x+1=1 solve it!!!!

Answer 1

Answer:

Solution: x=−1,3

Explanation:

The strategy with solving radical equations is to use the "isolate and square" method on each radical, one at a time.

Step 1: Isolate √2x+3 on the left side of the equation.

√2x+3=√x+1+1

Step 2: Square both sides of the equation.

(√2x+3)2=(√x+1+1)2
2x+3=x+2+2√x+1

Step 3: Isolate √2x+3 on the right side of the equation.

x+1=2√x+1

Step 4: Square both sides of the equation.

(x+1)2=(2√x+1)2
x2+2x+1=4(x+1)
x2−2x−3=0
(x−3)(x+1)=0
x=−1,3