# Math virtual assistant

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# Step-by-step Solution

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## Answer

$1.4343\geq x\geq 0.2324$

## Step-by-step explanation

Problem to solve:

${-3x^2+5x-1}\geq {0}$
1

To find the roots of a polynomial of the form $ax^2+bx+c$ we use the quadratic formula, where $a=-3$, $b=5$ and $c=-1$

$x =\frac{-b\pm\sqrt{b^2-4ac}}{2a}$
2

Substituting the values of the coefficients of the equation in the quadratic formula

$x=\frac{-1\cdot 5\pm \sqrt{5^2-4\cdot -3\cdot -1}}{2\cdot -3}$

## Answer

$1.4343\geq x\geq 0.2324$
${-3x^2+5x-1}\geq {0}$

Inequalities

~ 0.4 seconds

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