if xsquare-3x= 13 what does x equal?
x^2 - 3x =13
Solve for x:
x^2-3 x = 13
Add 9/4 to both sides:
x^2-3 x+9/4 = 61/4
Write the left hand side as a square:
(x-3/2)^2 = 61/4
Take the square root of both sides:
x-3/2 = sqrt(61)/2 or x-3/2 = -sqrt(61)/2
Add 3/2 to both sides:
x = 3/2+sqrt(61)/2 or x-3/2 = -sqrt(61)/2
Add 3/2 to both sides:
Answer: | x = 3/2+sqrt(61)/2 or x = 3/2-sqrt(61)/2