Question

\[\sqrt{x ^{2}/2+11}=x-1\] solve??

Answer 1

\[\sqrt{\frac{x^2}{2} + 11 }= x-1\]Like that?

Answer 2

yeah

Answer 3

square both side

(x^2 /2) +11= (x-1)^2
(x^2 /2) +11 = x^2 -2x +1

2((x^2 /2) +11) = 2x^2 -4x +2 <-- multiply 2 on both sides to remove 1/2 before x^2 on LHS
x^2+22 =2x^2 -4x +2
x^2 -4x -20=0
by quadratic eqt, we can solve for x

Answer 4

before x^2 on left hand side?

Answer 5

yes

Answer 6

coeff. of x^2 on LHS is 1/2

Answer 7

okay, got it. thanks!

Answer 8

the answer is 2+2 \[\sqrt{6}\]

Answer 9

\[2+2\sqrt{6}\]

Answer 10

how do you get that?

Answer 11

x=(−b±sqrt(b^2−4ac))/2a