How would solve this using the quadratic formula: x2 – 3x = 7x – 2?

Question

How would solve this using the quadratic formula: x2 – 3x = 7x – 2?

Answer 1

First of all you need to collect all terms (x,x2 and constant) on the left hand side of the equals sign.  You do this by subtracting 7x from both sides of the equation and adding 2 to both sides of the equation to give :

x2 - 3x - 7x + 2 = 0

x2 - 10x + 2 = 0

Now you can use the quadratic formula with

a = 1 (coefficient of x2)

b = -10 (coefficient of x)

c = +2 (constant term)

Answer 2

rearrange to get in standard form

x2 - 3x = 7x - 2

x2 - 3x - 7x + 2 = 0

x2 - 10x + 2 = 0

now should be more familiar

Answer 3

Are you doing your homework?

Answer 4

x2-3x=7x-2

x2-3x-7x+2=0

x2-10x+2=0

using the quadratic formular

a= 1

b= -10

c= 2

make direct substitution and solve

Answer 5

First you would put all the terms on one side of the equal sign making it equal to zero.

So this is what you'll get: x2 - 10x + 2=0

Then you could go about solving it using the quadratic formula.

Answer 6

Nadia - I suspect we are taking the same class at the same university since every problem I looked up you had already asked :)

If you are in the same school, and finals are coming up for you like they are me ~ I just found  a great website with a calculator built in and step by step instructions!

http://www.algebrahelp.com/calculators/