SOLUTION: Find the x intercept -x^2 + 6x - 2 Thanks!

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Question 47836: Find the x intercept

-x^2 + 6x - 2
Thanks!

Answer by venugopalramana(3286) About Me  (Show Source):
You can put this solution on YOUR website!
SEE THE FOLLOWING EXAMPLE AND TRY.IF STILL IN DIFFICULTY PLEASE COME BACK
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Y INTERCEPT IS DETERMINED BY THE POINTS WHERE THE CURVE INTERSECTS X AXIS.HENCE THIS IS
OBTAINED BY EQUATING THE EQN. TO ZERO AND FINDING VALUES OF X SATISFYING THE EQN.
What is the y-intercept of the function, y=f(x)=2x^2+4x-6?=0
x^2+2x-3=0
x^2+3x-x-3=0
x(x+3)-1(x+3)=0
(x+3)(x-1)=0
x=-3 and x=1 ARE THE 2 Y INTERCEPTS.
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i need help with this quadratic using the formula.. i did the work and my answer came out to be irrational is this true?
a=3x^2+
b=8x+
c=2
3x^2+8x+2=0
x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+
x+=+%28-8+%2B-+sqrt%28+8%5E2-4%2A3%2A2+%29%29%2F%282%2A3%29+
x+=+%28-8+%2B-+sqrt%28+64-24+%29%29%2F%286%29+
x+=+%28-8+%2B-+2%2Asqrt%2810%29%29%2F%286%29+
x+=+%28-4+%2B-+sqrt%2810%29%29%2F%283%29+
yes you are correct.the roots are irrational