Question

Use completing the square to solve the equation x^2 - 10x = -8.

Which equation is used in the process?


a) x2- 10x + 25 = 17
b) x2- 10x + 25 = -8
c) x2- 10x - 25 = -33

Answer 1

x2- 10x + 25 = 17

Answer 2

howd you get that

Answer 3

I was going with the first one as well..

Answer 4

u had to add (b/2)^2
in this case (10/2)^2

Answer 5

Given that \[x^2 - 10x = -8. \rightarrow x^2 - 2 \times5 \times x = -8.\]
comparing the middele term with 2ab we find a=x and b=5
since square of x is already given sq we need to add square of 5 on both sides so
\[x^2 - 2 \times5 \times x + 5^2= 5^2-8.\]
\[x^2 - 10x + 25= 25-8.\rightarrow x^2 - 10x + 25= 17\]

Answer 6

a) x2- 10x + 25 = 17 ==>
x2- 10x + 25- 17 ==>
x2- 10x +8 ==>
x2- 10x = -8

Answer 7

okay! thank you!

Answer 8

simplifying