Question

What is a solution

Answer 1

x2-6x = -10
-4x = -10
x= 10/4
x= 5/2

Answer 2

im sorry the quadratic formula is used

Answer 3

that is x^2 not 2x right?

Answer 4

These are "2" the choices x = -3 - i

x = 3 + i

Answer 5

\[x=3+i \sqrt{19}\]
or
\[x=-3-i \sqrt{19}\]

Answer 6

So move everything to the left hand side:
\[x^2 - 6x + 10 = 0\]
Solve the quadratic equation by completing the square:
\[x^2 - 6x = -10\]
Take one half of the coefficient of x and square it, then add it to both sides.
\[x^2 - 6x + 9 = -1\]
Factor the left hand side:
\[(x-3)^2 = -1\]
Eliminate the exponent on the left hand side.
\[x - 3 = i, x-3 = -i\]
Look at the first equation: Solve for x.
\[x = 3 + i or x-3 = -i\]
Look at the second equation: Solve for x.
\[x = 3+i, x = 3-i\]

Answer 7

thank you

Answer 8

So the solution is

x = 3 + i or x = 3 - i

Answer 9

i understand it completly