# SOLUTION: Can you help me solve this question? Determine the number of solutions and classify the type of solutions for each of the following equations. Justify the answers. a. x^2 + 3x -

Algebra ->  Algebra  -> Quadratic Equations and Parabolas  -> Quadratic Equation Customizable Word Problems -> SOLUTION: Can you help me solve this question? Determine the number of solutions and classify the type of solutions for each of the following equations. Justify the answers. a. x^2 + 3x -       Log On

 Ad: You enter your algebra equation or inequality - Algebrator solves it step-by-step while providing clear explanations. Free on-line demo . Ad: Algebra Solved!™: algebra software solves algebra homework problems with step-by-step help! Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations!

Question 203923: Can you help me solve this question?
Determine the number of solutions and classify the type of solutions for each of the following equations. Justify the answers.
a. x^2 + 3x - 15 = 0
b. x^2 + x + 4 = 0
c. sqrt2^2 - 4x - 7 sqrt2 = 0
d. x^2 - 8x + 16 = 0
e. 2x^2 - 3x + 7 = 0
f. x^2 - 4x - 77 =0
g. 3x^2 - 7x + 6 = 0
h. 4x^2 + 16x + 16= 0

You can put this solution on YOUR website!
Determine the number of solutions and classify the type of solutions for each of the following equations. Justify the answers.
a. x^2 + 3x - 15 = 0
This is well covered by the onsite solver. Read the info about the discriminant.
 Solved by pluggable solver: SOLVE quadratic equation (work shown, graph etc) Quadratic equation (in our case ) has the following solutons: For these solutions to exist, the discriminant should not be a negative number. First, we need to compute the discriminant : . Discriminant d=69 is greater than zero. That means that there are two solutions: . Quadratic expression can be factored: Again, the answer is: 2.65331193145904, -5.65331193145904. Here's your graph:

-------------------------
None of the tutors are likely to do 8 problems in one submission. You give them a try, and email me via the thank you note for help, or to check your work.
---------------------------
b. x^2 + x + 4 = 0
c. sqrt2^2 - 4x - 7 sqrt2 = 0
d. x^2 - 8x + 16 = 0
e. 2x^2 - 3x + 7 = 0
f. x^2 - 4x - 77 =0
g. 3x^2 - 7x + 6 = 0
h. 4x^2 + 16x + 16= 0