Find the roots of the quadratic polynomials: f(x)=4x^2−3x -1

permaneceerc 2021-09-15 Answered
Find the roots of the quadratic polynomials:
\(\displaystyle{f{{\left({x}\right)}}}={4}{x}^{{2}}−{3}{x}−{1}\)

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Expert Answer

Lacey-May Snyder
Answered 2021-09-16 Author has 25557 answers

Given:
\(\displaystyle{f{{\left({x}\right)}}}={4}{x}^{{2}}−{3}{x}−{1}\)
To find roots
Put \(f(x)=0\)
\(\displaystyle{4}{x}^{{2}}-{3}{x}-{1}={0}\)
\(\displaystyle{4}{x}^{{2}}-{4}{x}+{x}-{1}={0}\)
\(\displaystyle{4}{x}{\left({x}-{1}\right)}+{1}{\left({x}-{1}\right)}={0}\)
\(\displaystyle{\left({4}{x}+{1}\right)}{\left({x}-{1}\right)}={0}\)
\(\displaystyle{x}={\frac{{-{1}}}{{{4}}}},{1}\)

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