SOLUTION: zeros of a function: find the zeros (i.e. x-intercepts) of the following functions: 1) f(x)=-48x^2+3x^4 2) f(x)=-4x^3-15x^2+18x

Algebra ->  Algebra  -> Rational-functions -> SOLUTION: zeros of a function: find the zeros (i.e. x-intercepts) of the following functions: 1) f(x)=-48x^2+3x^4 2) f(x)=-4x^3-15x^2+18x      Log On

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Question 35189: zeros of a function:
find the zeros (i.e. x-intercepts) of the following functions:
1) f(x)=-48x^2+3x^4
2) f(x)=-4x^3-15x^2+18x
Answer by venugopalramana(3286) About Me  (Show Source):
You can put this solution on YOUR website!
find the zeros (i.e. x-intercepts) of the following functions:
1) f(x)=-48x^2+3x^4
3X^2(X^2-16)=0
X^2=0...THAT IS X=0...OR
X^2-16=0...THAT IS X^2=16...THAT IS X=4 OR -4
2) f(x)=-4x^3-15x^2+18x
X(-4X^2-15X+18)=0
X=0...OR
4X^2+15X-18=0....USE QUADRATIC FORMULA`TO GET THE ROOTS
x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+
x+=+%28-15%2B-+sqrt%28+%28-15%29%5E2-4%2A4%2A%28-18%29+%29%29%2F%282%2A4%29+
x+=+%28-15+%2B-+sqrt%28+225%2B288+%29%29%2F8+
x+=+%28-15+%2B-+sqrt%28+513+%29%29%2F8+