Question

x^2-7x+3=0

1) exact solutions x=?
2) approx to 3 decimal places x=?

Answer 1

You need to use the quadratic equation or complete-the-square to solve this. It does not factor easily.

x = [-b +/-(b^2 -4ac)]/2a

b^2 - 4ac = 49 - 12 = 37

x = [7 +/- sqrt37]/2] = 6.541 or 0.459