SOLUTION: What is 3x+25x+50 completely factored. The answer should look like _(x_?)(x_?) From what I understand the formula is ax+bx+c and the outcome should be (ax+c)(ax+c)

Algebra ->  Distributive-associative-commutative-properties -> SOLUTION: What is 3x+25x+50 completely factored. The answer should look like _(x_?)(x_?) From what I understand the formula is ax+bx+c and the outcome should be (ax+c)(ax+c)      Log On


   



Question 472123: What is 3x+25x+50 completely factored. The answer should look like _(x_?)(x_?)
From what I understand the formula is ax+bx+c and the outcome should be
(ax+c)(ax+c)

Found 2 solutions by mananth, josmiceli:
Answer by mananth(16949) About Me  (Show Source):
You can put this solution on YOUR website!
I Think it should be 3x%5E2
3x^2+25x+50
Find the roots of the equation by quadratic formula

a= 3 b= 25 c= 50

b^2-4ac= 625 - -600
b^2-4ac= 25
sqrt%28%0925%09%29= 5
x=%28-b%2B-sqrt%28b%5E2-4ac%29%29%2F%282a%29
x1=%28-b%2Bsqrt%28b%5E2-4ac%29%29%2F%282a%29
x1=( -25 + 5 )/ 6
x1= -3.33 -3 1/3
x2=( -25 -5 ) / 6
x2= -5 -5
x = -3.33 mph
(x+5)(x+3.33)
m.ananth@hotmail.ca

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
+3x%5E2+%2B+25x+%2B+50+
The direct way is to use the quadratic formula to find the roots
The formula is:
x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+
when the form of the equation is:
+ax%5E2+%2B+bx+%2B+c+=+0+
+a+=+3+
+b+=+25+
+c+=+50+
x+=+%28-25+%2B-+sqrt%28+25%5E2-4%2A3%2A50+%29%29%2F%282%2A3%29+
x+=+%28-25+%2B-+sqrt%28+625+-+600+%29%29+%2F+6+
x+=+%28-25+%2B-+sqrt%28+25+%29%29+%2F+6+
+x+=+%28+-25+%2B+5+%29%2F6+
+x+=+-10+%2F+3+
and
+x+=+%28+-25+-+5%29+%2F+6+
+x+=+-5+
The roots are -10%2F3 and +-5+
I can rewrite the solutions as:
+x+%2B+10%2F3+=+0+ and
+x+%2B+5+=+0+
And If I multiply these together:
+%28x+%2B+10%2F3%29%2A%28x+%2B+5%29+=+0+
Expanding:
x%5E2+%2B+%2810%2F3%29%2Ax+%2B+5x+%2B+50%2F3+=+0+
Multiply both sides by +3+
3x%5E2+%2B+10x+%2B+15x+%2B+50+=+0+
+3x%5E2+%2B+25x+%2B+50+=+0+
So the factors of the equation are:
+x+%2B+10%2F3++ and
+x+%2B+5++