How do you solve x^2 – 3x = 7x – 2?

1 Answer
Alan P.
Aug 5, 2015

x= 5+-sqrt(23)

Explanation:

x^2-3x = 7x -2

is equivalent (subtract (7x-2) from both sides) to
x^2-10x+2 = 0

Using the quadratic formula for roots
color(white)("XXXX")x= (-b+-sqrt(b^2-4ac))/(2a)
which in this case gives
color(white)("XXXX")x= (10+-sqrt(10^2-4(1)(2)))/(2(1)

color(white)("XXXX")color(white)("XXXX")= 5+-sqrt(23

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