Question

slove for x. x^2+50=10x

Answer 1

This does not factor. Do know how to complete the square?

Answer 2

Or do you want to use the quadratic formula? Do you care which way?

Answer 3

I don't care, I just need to solve for x and I cannot figure it out. Thank you.

Answer 4

Set the equation equal to 0 first \[x^2-10x+50=0\]
To complete the square subtract the constant to the RHS; square half the -10; and add to both sides: \[x^2-10x+25=50+25\]
Factor the LHS as a perfect square trinomial: \[(x-5)^2=75\]
Square root both sides and add 5 to both sides: \[x = 5\pm 5 \sqrt{3}\]
These are your two answers.

Answer 5

Thank you!