SOLUTION: We are learning this in class and my teacher goes way to fast. Could you please help me with the following question? Solve each equation symbolically. A. (X+3)^2=7 B. (X-2)^2-8

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: We are learning this in class and my teacher goes way to fast. Could you please help me with the following question? Solve each equation symbolically. A. (X+3)^2=7 B. (X-2)^2-8      Log On


   

Question 733129: We are learning this in class and my teacher goes way to fast. Could you please help me with the following question?
Solve each equation symbolically.
A. (X+3)^2=7
B. (X-2)^2-8=13
I honestly don't understand what "solve symbolically". If you would help me I would be extremely thankful.
Dakota
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
Solve each equation symbolically.
A. (X+3)^2=7
B. (X-2)^2-8=13
symbolically means using the quadratic formula
%28x%2B3%29%5E2=7

x%5E2%2B6x%2B9=7

x%5E2%2B6x%2B2=0
compare this equation with ax^2+bx+c
a=1, b=6, c=2
b^2-4ac= 36 -8
b^2-4ac= 28
%09sqrt%28%0928%09%29=%095.29%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=( -6 + 5.29 )/ 2
x1= -0.35
x2=%28-b-sqrt%28b%5E2-4ac%29%29%2F%282a%29
x2=( -6 -5.29 ) / 2
x2= -5.65
two values of x. -0.35 & -5.65