SOLUTION: Use the quadratic formula to solve the equation. If the equation has no real number solutions, so state. x^2 + 7x + 2 = 0

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: Use the quadratic formula to solve the equation. If the equation has no real number solutions, so state. x^2 + 7x + 2 = 0      Log On


   

Question 248212: Use the quadratic formula to solve the equation. If the equation has no real number solutions, so state.
x^2 + 7x + 2 = 0
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Use the quadratic formula to solve the equation.
If the equation has no real number solutions, so state.
x^2 + 7x + 2 = 0
:
x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+
In this equation: a=1; b=7; c=2, so you have:
x+=+%28-7+%2B-+sqrt%28+7%5E2+-+4%2A1%2A2+%29%29%2F%282%2A1%29+
:
x+=+%28-7+%2B-+sqrt%2849+-+8+%29%29%2F2+
:
x+=+%28-7+%2B-+sqrt%2841%29%29%2F2+
Two solutions
x+=+%28-7+%2B+6.403%29%2F2+
x = %28-.597%29%2F2
x = -.2985
and
x+=+%28-7+-+6.403%29%2F2+
x = %28-13.403%29%2F2
x = -6.7015