Question

Solve the equation x^2+5=8x by completing the square. Please show steps.

Answer 1

\[x ^{2} - 8x + 5 = 0\]
Can you factorise the left side?

Answer 2

i am unfamiliar with the method.

Answer 3

completing the square means you need the equation to be in the form of c^2+/- d^2

Algorithm!!

Step 1

Bring all the variable terms to one side and the constant terms to the ryt side.

Step 2

add half of the coefficient of the variable of first degree on both sides.

Step 3

Your left hand side equation/sum will be of the form (a+/b)^2 and right hand side will be a constant numerical term.

Step 4

Bring in the constant term back on the left side changing the side,i.e, adding or subtracting the constant term on both side as required.

Step 5

Find the square root of the constant term and write the constant term as the square of it.

Step 6

Consider the (a+/b)^2 form as c^2 and the constant term d^2.


Put it in the equation I wrote first and VIOLA!!!