SOLUTION: Use the Quadratic Formula to solve the quadratic equation. (Enter your answers as a comma-separated list.) 4.5x2 − 6x + 15 = 0

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: Use the Quadratic Formula to solve the quadratic equation. (Enter your answers as a comma-separated list.) 4.5x2 − 6x + 15 = 0       Log On


   

Question 491375: Use the Quadratic Formula to solve the quadratic equation. (Enter your answers as a comma-separated list.)

4.5x2 − 6x + 15 = 0
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

4.5x%5E2-6x+%2B+15+=+0

x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+...note that a=4.5, b=-6 and c=15

x+=+%28-4.5+%2B-+sqrt%28%284.5%29%5E2-4%2A%284.5%29%2A15+%29%29%2F%282%2A4.5%29+

x+=+%28-4.5+%2B-+sqrt%2820.25-270+%29%29%2F9+

x+=+%28-4.5+%2B-+sqrt%28-249.75+%29%29%2F9+

x+=+%28-4.5+%2B-+sqrt%28%28-1%29249.75+%29%29%2F9+

x+=+%28-4.5+%2B-15.8%2Ai%29%2F9+
solutions:
x+=+%28-4.5+%2B15.8%2Ai%29%2F9+

x+=+-4.5%2F9+%2B%2815.8%2Ai%29%2F9+

x+=+-0.5+%2B1.76i+
or
x+=+%28-4.5+-15.8%2Ai%29%2F9+

x+=+-4.5%2F9+-%2815.8%2Ai%29%2F9+

x+=+-0.5+-1.76i+