Question

X^2+10x+19=0 complete the square PLEASE EXPLAIN

Answer 1

Answer:

Step-by-step explanation

In the form ax^2+bx+c

a x c should equal two factors of b

However, in this equation

1 x 19 has no factors that = 10

so you must use the Quadratic Formula which is,

x = $\frac{-b+-\sqrt{b^2-4ac} }{2a}$

so the answer should be

x = $\frac{-10+-\sqrt{10^2-4(1)(19)} }{2(1)}$

x = $\frac{-10+-\sqrt{24} }{2}$

x = $\frac{-10+2\sqrt{6} }{2}$      and    x = $\frac{-10-2\sqrt{6} }{2}$