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Step-by-step Solution

Solve the equation $-9x^2+12x-4=0$

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Answer

$x_1=0.6667,\:x_2=0.6667$

Step-by-step explanation

Problem to solve:

$-9x^2+12x-4=0$
1

To find the roots of a polynomial of the form $ax^2+bx+c$ we use the quadratic formula, where $a=-9$, $b=12$ and $c=-4$

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

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

$x=\frac{-1\cdot 12\pm \sqrt{12^2-4\cdot -9\cdot -4}}{2\cdot -9}$

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Answer

$x_1=0.6667,\:x_2=0.6667$
$-9x^2+12x-4=0$

Main topic:

Equations

Time to solve it:

~ 0.45 seconds

Related topics:


Quadratic formulaEquations