SOLUTION: Use the quadratic formula: 2x^2 - 5x = 3 Can someone please explain this type of problem to me, thank you so much!

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: Use the quadratic formula: 2x^2 - 5x = 3 Can someone please explain this type of problem to me, thank you so much!      Log On


   

Question 65709: Use the quadratic formula:
2x^2 - 5x = 3
Can someone please explain this type of problem to me, thank you so much!
Found 2 solutions by Nate, funmath:
Answer by Nate(3500) About Me  (Show Source):
You can put this solution on YOUR website!
2x^2 - 5x = 3
2x^2 - 5x - 3 = 0
a = 2
b = -5
c = -3
x+=+%28-b+%2B-+sqrt%28+b%5E2+-+4%2Aa%2Ac+%29%29%2F%282%2Aa%29+
x+=+%285+%2B-+sqrt%28+%28-5%29%5E2+-+4%2A2%2A%28-3%29+%29%29%2F%282%2A2%29+
x+=+%285+%2B-+sqrt%28+25+%2B+24+%29%29%2F%284%29+
x+=+%285+%2B-+7%29%2F%284%29+
x = 3 and x = -0.5
graph%28300%2C300%2C-5%2C5%2C-10%2C10%2C2x%5E2+-+5x%2C3%29

Answer by funmath(2933) About Me  (Show Source):
You can put this solution on YOUR website!
Use the quadratic formula:
2x^2 - 5x = 3
First put the equation into this form:highlight%28ax%5E2%2Bbx%2Bc=0%29
2x%5E2-5x-3=3-3
2x%5E2-5x-3=0
a=2, b=-5, and c=-3
The quadratic formula is: highlight%28x=%28-b%2B-sqrt%28b%5E2-4ac%29%29%2F2a%29
x=%28-%28-5%29%2B-sqrt%28%28-5%29%5E2-4%282%29%28-3%29%29%29%2F%282%282%29%29
x=%285%2B-sqrt%2825%2B24%29%29%2F4
x=%285%2B-sqrt%2849%29%29%2F4
x=(5 + or -7)/4
x=%285%2B7%29%2F4 or x=%285-7%29%2F4
x=12%2F4 or x=-2%2F4
x=3 or x=-1%2F2
Happy Calculating!!!