SOLUTION: Can you help me find all the roots and how to check the answers. x^2 + 5x - 14 = 0, 49^2 - 25 = 0, 4x^2 - 13x + 3 = 0

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Can you help me find all the roots and how to check the answers. x^2 + 5x - 14 = 0, 49^2 - 25 = 0, 4x^2 - 13x + 3 = 0      Log On


   

Question 255020: Can you help me find all the roots and how to check the answers.
x^2 + 5x - 14 = 0, 49^2 - 25 = 0, 4x^2 - 13x + 3 = 0
Answer by palanisamy(496) About Me  (Show Source):
You can put this solution on YOUR website!
1) x^2+5x-14 = 0
x^2+7x-2x-14 =0
x(x+7)-2(x+7) = 0
(x+7)(x-2)=0
x+7=0 or x-2=0
x= -7 or x=2
2) 49x^2 - 25=0
(7x)^2- 5^2 =0
(7x+5)(7x-5) =0
7x+5 =0 or 7x-5=0
7x=-5 or 7x=5
x = -5/7 or x=5/7
3)4x^2-13x+3 =0
4x^2-12x-x+3 =0
4x(x-3)-1(x-3) =0
(x-3)(4x-1) =0
x-3 =0 or 4x-1=0
x=3 or 4x=1
x=3 or x=1/4