Question

Which expression is equivalent to 2x^2 – 2x + 7?

Answer 1

Answer:

The answer is = (2±√52i)/4

Step-by-step explanation:

Given the expression 2x²-2x+7, to find the equivalent expression, we will need to factorize the given equation completely to have;

2x²-2x+7

Using the general formula

x = -b±√b²-4ac/2a

From the equation, a= 2, b= -2 and c = 7

x = -(-2)±√(-2)²-4(2)(7)/2(2)

x = 2±√4-56/4

x = 2±√-52/4

x = (2±√52i)/4 where I is a complex number since √-1 = i

Answer 2

2x^2 - 2x + 7 = 2(x^2 -x +3) + 1 = 2(x-0.5)^2 + 17/6