SOLUTION: solve 6x²+3x-18=0 using quadratic formula. 2. use the graph of y=x²+4-5 to anwer the following a) without solving the equation or factoring, determine the solution(s) to the equati

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: solve 6x²+3x-18=0 using quadratic formula. 2. use the graph of y=x²+4-5 to anwer the following a) without solving the equation or factoring, determine the solution(s) to the equati      Log On


   



Question 177528: solve 6x²+3x-18=0 using quadratic formula. 2. use the graph of y=x²+4-5 to anwer the following a) without solving the equation or factoring, determine the solution(s) to the equation,x²+4-5=0, using only the graph. expalined how you obtained your answer. 3. calculate the discriminant of x²+4x+4=0
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!
The solutions to a quadratic in the form ax%5E2+%2B+bx+%2B+c+=+0 are given by:

x+=+%28-b+%2B-+sqrt%28+b%5E2-4ac+%29%29%2F%282a%29+

For your problem: a+=+6, b+=+3, and c+=+-18, but these numbers have a common factor that you can eliminate, namely 3. Hence, a+=+2, b+=+1, and c+=+-6, so:

x+=+%28-1+%2B-+sqrt%28+1%5E2-4%282%29%28-6%29%29%29%2F%282%2A2%29+. Now just do the arithmetic.


I'm pretty sure you mean y+=+x%5E2+%2B+4x+-+5 instead of what you wrote.



The discriminant is just the part of the quadratic formula that is under the radical, DELTA+=+b%5E2+-+4ac, so calculate DELTA+=+4%5E2+-+4%281%29%284%29