Question

which of the following is a solution of x2-2x=-8​

Answer 1

The last one
You’re completing the square here so you have to find (1/2b)^2. In this case it’s 1. So you have to add 1 to both sides. Then you have to solve for it
It becomes
(x-1)^2 = -7
Then you have to find the square root
(x-1) = √-7
x-1 = √7 √-1
x-1= ± i √7
x= 1 ±i √7
That’s your answer and d is the only one that matches with it

Answer 2

The following which is a solution of $x^{2} - 2x = -8$ is Option(D) 1 + i√7.

What is the solution of the given equation ?

The given equation is $x^{2} - 2x = -8$ .

The equation can also be written as $x^{2} - 2x + 8 = 0$

Solving the equation to find its solution -

Using the formula for solving the given equation,

⇒ x =  $\frac{2 +- \sqrt{(4 - 4*1*8)^{2} } }{2}$

⇒ x = $\frac{2 +- \sqrt{(4 - 32)^{2} } }{2}$

⇒ x = $\frac{2 +- \sqrt{(28) } }{2}$

⇒ x = 1 ± i√7

Thus the solution of the equation is 1 + √7 and 1 - √7 .

The following which is a solution of $x^{2} - 2x = -8$ is Option(D) 1 + i√7.

To learn more about solution of equation, refer -

https://brainly.com/question/4344292

#SPJ2