SOLUTION: I have a tough one, well, tough for me. I have to write a quadratic equation with these two answers: sqrt4 or -3/4. Can someone help me?

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: I have a tough one, well, tough for me. I have to write a quadratic equation with these two answers: sqrt4 or -3/4. Can someone help me?       Log On


   

Question 433865: I have a tough one, well, tough for me. I have to write a quadratic equation with these two answers:
sqrt4 or -3/4.
Can someone help me?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
You have
x+=+sqrt%284%29+
and
x+=+-3%2F4+
Note that
+sqrt%284%29+=+2+
and
+sqrt%284%29+=+-2+
---------------
These can be written as:
+x+-+2+=+0
+x+%2B+2+=+0+
+x+%2B+3%2F4+=+0+
--------------
This is a 3rd degree equation
+%28+x+-+2+%29%2A%28+x+%2B+2+%29%2A%28+x+%2B+3%2F4+%29+=+0+
+%28+x%5E2+-+4%29+%2A+%28x+%2B+3%2F4+%29+
+x%5E3+%2B+%283%2F4%29%2Ax%5E2+-+4x+-+3+=+0+
+4x%5E3+%2B+3x%5E2+-+16x+-+12+=+0+
--------------------------
Checking for +x+=+-2+
+4%28-2%29%5E3+%2B+3%2A%28-2%29%5E2+-+16%2A%28-2%29+-+12+=+0+
+-32+%2B+12+%2B+32+-+12+=+0+
+0+=+0+
You can check
+x+=+2+ and
+x+=+-3%2F4+