SOLUTION: Write a quadratic equation in the variable x having the given numbers as solutions. Type the equation in standard form, where a, b, and c are integers (no fractions). (ax^2+bx+c=0

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: Write a quadratic equation in the variable x having the given numbers as solutions. Type the equation in standard form, where a, b, and c are integers (no fractions). (ax^2+bx+c=0      Log On


   

Question 1116220: Write a quadratic equation in the variable x having the given numbers as solutions. Type the
equation in standard form, where a, b, and c are integers (no fractions). (ax^2+bx+c=0).
Solutions: -3/2, 5/2.
ans should be: _ = 0
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
+%28+x+-%28-3%2F2%29+%29%2A%28+x+-+5%2F2+%29+=+0+
+x%5E2+%2B+%283%2F2%29%2Ax+-+%285%2F2%29%2Ax+-+15%2F4+=+0+
Multiply both sides by +4+
+4x%5E2+%2B+6x+-+10x+-+15+=+0+
+4x%5E2+-+4x+-+15+=+0+
-------------------------------
check:
are -3/2, 5/2 solutions?
+4%2A%28-3%2F2%29%2A2+-+4%2A%28-3%2F2%29+-+15+=+0+
+4%2A%289%2F4%29+%2B+6+-+15+=+0+
+9+%2B+6+-+15+=+0+
+0+=+0+
OK
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