How do you solve 2x^2 - 250x + 5000 = 0?

2 Answers
Mar 31, 2018

25,100

Explanation:

2x^2-250x+5000=0
rArr 2(x^2-125x+2500)=0
rArr x^2-125x+2500=0
rArr x^2-25x-100x+2500=0
rArr x(x-25)-100(x-25)=0
rArr (x-25)(x-100)=0
rArr (x-25)=0,(x-100)=0
rArr x = 25 & 100

Mar 31, 2018

x=25" or "x=100

Explanation:

"take out a "color(blue)"common factor "2

rArr2(x^2-125x+2500)=0

"the factors of + 2500 which sum to - 125 are - 25 and - 100"

rArr2(x-25)(x-100)=0

"equate each factor to zero and solve for x"

x-25=0rArrx=25

x-100=0rArrx=100