How to solve y the quadratic formula. Simplify your answers?

Question

How to solve x2-3x-1=0

Answer 1

If ax²+bx+c=0 is a general quadratic equation, then for x²-3x-1=0 a=1, b=-3, c=-1, the coefficients.

Quadratic formula is x=(-b±√(b²-4ac))/2a. Plus-or-minus (±) means there are (usually) two solutions for x, depending on whether we subtract the square root expression or add it.

So in the example we substitute for a, b and c:

x=(-(-3)±√((-3)²-4×1×(-1)))/2=(3±√(9+4))/2=(3±√13)/2=(3+√13)/2=(3+3.6056)/2=3.3028 or (3-√13)/2=(3-3.6056)/2=-0.3028.

ANSWER: x=3.3028 or x=-0.3028 (approximate figures).