Question

Solve by Completing the Square
2x^2+4-5=7

Answer 1

x = 2 or -2

Explanation:

2x2+4−5=7

Step 1: Simplify both sides of the equation.

2x2−1=7

Step 2: Add 1 to both sides.

2x2−1+1=7+1

2x2=8

Step 3: Divide both sides by 2.

2x2

2

=

8

2

x2=4

Step 4: Take square root.

x=±√4

x=2 or x=−2

Answer:

x=2 or x=−2

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Answer 2

x1=-2 x2=2

2x^2+4-5=7
2x^2-1=7
2x^2=7+1
2x^2=8
x^2=4
x= ±2

x=-2
x=2