Solve the quadratic equation by completing the square.
2x^2+2=3x
Express your answer in simplified form.
+33615 "Solve the quadratic equation by completing the square.
2x^2+2=3x"
Divide through by 2
x^2 + 1 = 3x/2
Rearrange
x^2 - 3x/2 = -1
Add (1/2*3/2)^2 to both sides:
x^2 - 3x/2 + (1/2*3/2)^2 = (1/2*3/2)^2 - 1 or x^2 - 3x/2 +9/16 = -7/16
Equation can now be written as (x - 3/4)^2 = -7/16
Hence x = 3/4 ± √(-7/16) or x = (3 ± i√7)/4
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