Question

Solve the quadratic. x^2+8x+3=0

Answer 1

Factor
find wht 2 numbers add to 8 and multiply to 3
none do

use quadratic formula which can be used when
ax^2+bx+c=0
x=$\frac{-b+/- \sqrt{b^{2}}-4ac }{2a}$

a=1
b=8
c=3

x=$\frac{-8+/- \sqrt{8^{2}-4(1)(3)} }{2(1)}$
x=$\frac{ -8+/- \sqrt{64-12} }{2}$
x=$\frac{ -8+/- \sqrt{52} }{2}$
x=$\frac{ -8+/- 2 \sqrt{13} }{2}$
x=$-4+/- \sqrt{13}$

x=$-4+ \sqrt{13}$ or x=$-4- \sqrt{13}$
aprox x=-7.60555 or x=-0.394449

Answer 2

Use quadratic formula with a=1, b=8, c=3.

x=−b±√b2−4ac2ax=−(8)±√(8)2−4(1)(3)2(1)x=−8±√522x=−4+√13‌‌ or ‌‌x=−4−√13Answer:x=−4+√13‌‌ or ‌‌x=−4−√13
I hope that's help !