(-b±√(b²-4ac))/(2a)
Answer:
x=120±6434−−−√
x=−4.996
x=244.996
Find the Solution for
−125x2+30000x+153000=0
using the Quadratic Formula where
a = -125, b = 30000, and c = 153000
x=−b±b2−4ac−−−−−−−√2a
x=−30000±300002−4(−125)(153000)−−−−−−−−−−−−−−−−−−−−−√2(−125)
x=−30000±900000000−−76500000−−−−−−−−−−−−−−−−−−−√−250
x=−30000±976500000−−−−−−−−√−250
The discriminant b2−4ac>0
so, there are two real roots.
Simplify the Radical:
x=−30000±1500434−−−√−250
x=−30000−250±1500434−−−√−250
Simplify fractions and/or signs:
x=120±6434−−−√
which becomes
x=−4.996
x=244.996