SOLUTION: hello, Please help me solve these two problems, I got about half way through them and I got stuck. 1. solve by factoring 4w^2-25=0 2. Solve by Quadratic formula

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: hello, Please help me solve these two problems, I got about half way through them and I got stuck. 1. solve by factoring 4w^2-25=0 2. Solve by Quadratic formula       Log On


   

Question 818084: hello,
Please help me solve these two problems, I got about half way through them and I got stuck.
1. solve by factoring 4w^2-25=0
2. Solve by Quadratic formula
3/4(x^2)-2+3/4=0
Thank you so much for your help
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
1. solve by factoring
4w^2-25=0
(2w-5)(2w+5)=0
so either 2w-5=0
or2w+5=0
2w-5=0
2w=5
w=5/2
2w+5=0
2w=-5
w=-5/2
w=+/- 5/2

2. Solve by Quadratic formula
3/4(x^2)-2x+3/4=0

a= 0.75 , b= -2 , c= 0.75

b^2-4ac= 4 + -2.25
b^2-4ac= 1.75
%09sqrt%28%091.75%09%29=%091.32%09
x=%28-b%2B-sqrt%28b%5E2-4ac%29%29%2F%282a%29
x1=%28-b%2Bsqrt%28b%5E2-4ac%29%29%2F%282a%29
x1=( 2 + 1.32 )/ 1.5
x1= 2.22
x2=%28-b-sqrt%28b%5E2-4ac%29%29%2F%282a%29
x2=( 2 -1.32 ) / 1.5
x2= 0.45