3x^2 + 5x =8
solve with the quadratic formula. i messed up somewhere in my steps would be great~!

Quadratic formula

for ax^2+bx+c=0
x=

first conver to ax^2+bx+c=0 form

3x^2+5x=8
minus 8 both sides
3x^2+5x-8=0
we can actually solve by factoring (x-1)(3x+8), but that's isn't the question

so

ax^2+bx+c=0
3x^2+5x-8=0
a=3
b=5
c=-8

x=
x=
x=
x=
so
x=(-5-11)/6 or (-5+11)/6
simplify
(-5-11)/6=-16/6=-8/3
(-5+11)/6=6/6=1

x=-8/3 and 1

A5 miles because when you look at the chart count how many times it goes into it i don’t even know wha,t i’m saying anymore mpbut long stor6 short it’s 5 miles