# math

Can anyone please teach me how to solve for x in terms of a,b,c in this problem?
Thanks a lot!

ax^2+bx+c=0

1. 👍 0
2. 👎 0
3. 👁 125
1. Well, the general approach to solving equations of this kind is by using something known as a determinant.
The determinant of this equation is found by the following formula:

D=b²-4ac

(this formula is found by using Horners theorems on second degree equations, but I won't be going into depth on this subject)

There are 3 possible scenario's:

1)The determinant is negative (D<0): in this case there are no solutions for the problem.

2)The determinant is 0 (D=0): in this case there are two solutions, but both solutions have the same answer, so we only find 1 unique value as a solution

3)The determinant is positive (D>0): in this case there are two different solutions.

In cases 2 and 3, the two solutions can be calculated by using the equations:

x1 = (-b+sqrt(D))/(2a)
x2 = (-b-sqrt(D))/(2a)

We have now found the two possible solutions for the equation.

P.S. This is the most general approach for solving a second degree equation. Depending on the situation, there are possibly easier ways for solving, but you have to find that out for yourself.

1. 👍 0
2. 👎 0
2. Slove 4a=a+2d and -8=a+8d using substitution method

1. 👍 0
2. 👎 0
posted by Angie

## Similar Questions

1. ### math

{y-2}/(a^2-5a+6)=(a+1)/(a-3)-(a+2)/(a-2) How can I solve for y in terms of the other variables??? I tried many times, but I just get y=6,can't express y in terms of variables. Can anyone please correct me or teach me?THANKS A LOT!

asked by Selina on February 14, 2008
2. ### math

how to solve for x in terms of the other variables in this equation?Can anyone please teach?I got no idea...Thanks a lot! 3cx+8d^2=2d(2x+3c)

asked by Malisa on February 14, 2008
3. ### History

Why are fables from ancient Greece still used today? * (A) to illustrate tragedy (B)to teach about heroes (C)to teach about gods (D)to teach moral lessons I think it is D. Please check! Thank you very much, Sliverstream.

asked by Sliverstream on March 13, 2019
4. ### Algebra III / Core II

It has been since the beginning of last year since I last did this math and the teacher I currently have is a sub and doesn't know what the heck she's doing either - so if anyone can help me, that'd be oh so amazing! a. Solve d=rt

asked by Kristen on September 7, 2008
5. ### Precalc

I have a couple questions, I need to know how to solve these type of problems. X^2 -4< X + 16 5/n+2 - 5/n = 2/3n 2X^3-x^2-6X + 1/ X^2 + 5x - 8 1) rearragne the terms to get x^2-x-20

asked by <3 A on June 14, 2007
6. ### Math

Please help. 51. Solve: 125=(x3)/0.3^-3 a.7 b.14 c.15 d.9 53. 49x-2 = 7Ö 7 a.-5/4 b.5/4 c.11/4 d.-11/4 60. Simplify: 2log^3 6 - log^3 4 a.3 b.6 c.4 d.2 61. Solve the equation: logb (x^2 + 7) = 2/3logb 64 a.9 b.3 c. √23 d. ±3

asked by Holly on May 21, 2013
7. ### Substitution Method-Plz help

Use the Substitution method to solve the system of equations. x + y = -4 x - y = 2 solve for x in the second equation. x= y+2 Put that in for x in the first equation: x+y=-4 (y+2) + y = -4 solve for y. Then, x= y+2 i don't get

asked by Svetlana on October 17, 2006
8. ### AED

What skills will you teach and how will you teach them in mathematics. need 200 words and all I have so far is: I can teach this concept to students in a lower elementary grade and to students in a middle school grade by

asked by troyer0269 on November 21, 2008
9. ### Math

Simlifying Rational Expressions Reduce to lowest terms, stating the restrictions on the variable. I really don't understand the whole cancelling out the factor thing, and not cancelling out the terms. As I was having lots of

asked by -Untamed- on December 10, 2011
10. ### english

i need to do a visual display to help teach diction, and i cant think of any ideas, i have to use examples too Let's start with what you want to teach about diction. After you decide what you want to teach, finding visuals to

asked by steph on August 19, 2006

More Similar Questions