SOLUTION: Use the Quadratic Formula to solve the equation. (Enter your answers as a comma-separated list.) 2 + 2x − x2 = 0 x =

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: Use the Quadratic Formula to solve the equation. (Enter your answers as a comma-separated list.) 2 + 2x − x2 = 0 x =       Log On


   

Question 989243: Use the Quadratic Formula to solve the equation. (Enter your answers as a comma-separated list.)
2 + 2x − x2 = 0
x =

Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

2+%2B+2x+-+x%5E2+=+0 swap the sides
0=x%5E2-2x+-2
coefficients are: a=1,b=-2, and c=-2
x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+
x+=+%28-%28-2%29+%2B-+sqrt%28+%28-2%29%5E2-4%2A1%2A%28-2%29+%29%29%2F%282%2A1%29+
x+=+%282+%2B-+sqrt%28+4%2B8%29%29%2F2+
x+=+%282+%2B-+sqrt%28+12%29%29%2F2+
x+=+%282+%2B-+sqrt%28+4%2A3%29%29%2F2+
x+=+%282+%2B-+2sqrt%28+3%29%29%2F2+
x+=+%28cross%282%291+%2B-+cross%282%291sqrt%28+3%29%29%2Fcross%282%291+
x+=+%281+%2B-+sqrt%28+3%29%29+
exact solutions:
x+=+%281+%2B+sqrt%28+3%29%29+
x+=+%281+-+sqrt%28+3%29%29+
approximate:

x+=+%281+%2B+1.73%29+=>x+=+2.73+
x+=+%281+-+1.73%29+x+=+-0.73+