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

##### 2 Answers

Mar 31, 2018

25,100

#### Explanation:

Mar 31, 2018

#### 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#