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

Find the roots of the quadratic polynomials:
$$\displaystyle{f{{\left({x}\right)}}}={4}{x}^{{2}}−{3}{x}−{1}$$

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