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=
`( -8+/- √(64-12) )/(2)`
x=
`( -8+/- √(52) )/(2)`
x=
`( -8+/- 2 √(13) )/(2)`
x=
`-4+/- √(13)`

x=
`-4+ √(13)` or x=
`-4- √(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 !