SOLUTION: Solve the quadratic equation by factoring. Separate your answers with commas. Repeated roots should only be entered once. 3x^2 - x = 4

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: Solve the quadratic equation by factoring. Separate your answers with commas. Repeated roots should only be entered once. 3x^2 - x = 4      Log On


   

Question 990898: Solve the quadratic equation by factoring. Separate your answers with commas. Repeated roots should only be entered once.
3x^2 - x = 4
Found 2 solutions by josmiceli, Timnewman:
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
+3x%5E2+-+x+=+4+
+3x%5E2+-+x+-+4+=+0+
+x+=+%28+-b+%2B-+sqrt%28+b%5E2+-+4%2Aa%2Ac+%29%29+%2F+%282%2Aa%29+
+a+=+3+
+b+=+-1+
+c+=+-4+
+x+=+%28+-%28-1%29+%2B-+sqrt%28+%28-1%29%5E2+-+4%2A3%2A%28-4%29+%29%29+%2F+%282%2A3%29+
+x+=+%28+1+%2B-+sqrt%28+1+%2B+48+%29+%29+%2F+6+
+x+=+%28+1+%2B-+sqrt%28+49+%29+%29+%2F+6+
+x+=+%28+1+%2B+7+%29+%2F+6+
+x+=+4%2F3+
and
+x+=+%28+1+-+7+%29+%2F+6+
+x+=+-6%2F6+
+x+=+-1+
------------------
The factors are:
+%28+x+-+4%2F3+%29%2A%28+x+%2B+1+%29+=+0+
------------------------
check:
+x%5E2+-+%284%2F3%29%2Ax+%2B+%283%2F3%29%2Ax+-+4%2F3+=+0+
+x%5E2+-+%281%2F3%29%2Ax+-+4%2F3+=+0+
Multiply both sides by +3+
+3x%5E2+-+x+-+4+=+0+
OK

Answer by Timnewman(323) About Me  (Show Source):
You can put this solution on YOUR website!
Hi dear,
To solve 3x²-x=4,follow the steps below.
3x²-x-4=0
Then look for two numbers sush that their sum is -x and their product is -12x²
Then substitute those numbers for -x
Here are the two numbers:
-4x*3x=-12x²
and, -4x+3x=-x
Then,
3x²+3x-4x-4=0
Then,
Group the equation as follows;
(3x²+3x)-(4x-4)=0
Factor out.
3x(x+1)-4(x+1)=0
Then,
(3x-4)(x+1)=0
Then,3x-4=0 or x+1=0
x=4/3,x=-1
HOPE THIS HELPS?