SOLUTION: 1)Could you please help me sole for the following equations Solve the following by factoring: a)x squared minus 6x minus 16=0 Answer: Show your work here: b) 6x squa

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: 1)Could you please help me sole for the following equations Solve the following by factoring: a)x squared minus 6x minus 16=0 Answer: Show your work here: b) 6x squa      Log On


   

Question 120418This question is from textbook Blitzer College Algebra
: 1)Could you please help me sole for the following equations
Solve the following by factoring:
a)x squared minus 6x minus 16=0
Answer:
Show your work here:
b) 6x squared plus 42 x=0
Please solve for the following.
Show work here This question is from textbook Blitzer College Algebra

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
a)




x%5E2-6x-16=0 Start with the given equation

%28x-8%29%28x%2B2%29=0 Factor the left side (note: if you need help with factoring, check out this solver)



Now set each factor equal to zero:
x-8=0 or x%2B2=0

x=8 or x=-2 Now solve for x in each case


So our answer is
x=8 or x=-2


Notice if we graph y=x%5E2-6x-16 we can see that the roots are x=8 and x=-2 . So this visually verifies our answer.


+graph%28500%2C500%2C-10%2C10%2C-10%2C10%2C0%2C+x%5E2-6x-16%29+




b)



6x%5E2%2B42x=0 Start with the given equation

6x%28x%2B7%29=0 Factor the left side



Now set each factor equal to zero:
6x=0 or x%2B7=0

x=0 or x=-7 Now solve for x in each case


So our answer is
x=0 or x=-7


Notice if we graph y=6x%5E2%2B42x we can see that the roots are x=0 and x=-7 . So this visually verifies our answer.


+graph%28500%2C500%2C-10%2C10%2C-10%2C10%2C0%2C+6x%5E2%2B42x%29+