SOLUTION: Use the quadratic formula to solve the problem. x^2+4x-3=0

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: Use the quadratic formula to solve the problem. x^2+4x-3=0      Log On


   

Question 66879: Use the quadratic formula to solve the problem.
x^2+4x-3=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 problem.
x^2+4x-3=0
:
Here it is step-by-step. It's probably the most important formula in basic algebra. It will help you a lot down the road if you learn it thoroughly.
:
The quadratic formula:
x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+
:
In this problem, a= 1; b = 4; c =-3
x+=+%28-4+%2B-+sqrt%28+4%5E2-4%2A1%2A%28-3%29+%29%29%2F%282%2A1%29+
:
x+=+%28-4+%2B-+sqrt%28+16+-+%28-12%29+%29%29%2F%282%29+
:
x+=+%28-4+%2B-+sqrt%28+16+%2B+12+%29%29%2F%282%29+
:
x+=+%28-4+%2B-+sqrt%28+28+%29%29%2F%282%29+
:
x+=+%28-4+%2B-+sqrt%28+2%2A2%2A7+%29%29%2F%282%29+
:
x+=+%28-4+%2B-+2%2Asqrt%287+%29%29%2F%282%29+
:
Divide 2 into -4 & 2 and you have two solutions:
:
x = -2 + sqrt(7); in decimal numbers: +0.64575
and
x = -2 - sqrt(7); in decimal numbers: -4.64575