# How to solve x x – 3 x 2. 4 x+1/4 ?

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Welcome to my article Solve for x x – 3 x 2. 4 x+1/4

First of all we should write the article on the page of the notebook.

x x – 3 x 2. 4 x+1/4

In this type of question, first of all we should solve it by looking at its signs carefully,

\displaystyle x\text{x}x-3\text{x2x}4x+\frac{1}{4}\text{ }

\displaystyle x\text{x}x-6\text{x}4x+\frac{1}{4}\text{ }

\displaystyle x\text{x}x-24x+\frac{1}{4}\text{ }

\displaystyle {{x}^{2}}-24x+\frac{1}{4}\text{ }

Let \displaystyle {{x}^{2}}-24x+\frac{1}{4}\text{ =0}[/latex ] be, then ,</p> <p></p> \displaystyle {{x}^{2}}-24x+\frac{1}{4}\text{ =0}

On multiplying both sides by 4,

\displaystyle 4({{x}^{2}}-24x+\frac{1}{4}\text{) =4(0)}

\displaystyle 4{{x}^{2}}-96x+1\text{ =0}

We see that it becomes a question of quadratic equation,
So let’s solve it with this formula,

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

Once in standard form, identify a, b and c from the original equation and plug them into the quadratic formula.

\displaystyle a=4,b=-96,c=1

If the values of the terms in the formula are,

\displaystyle x=-\frac{{-(-96)\pm \sqrt{{{{{(-96)}}^{2}}-4\text{x4}}}\text{x}1}}{{2\text{x}4}}\text{ }

\displaystyle x=\frac{{-(-96)\pm \sqrt{{{{{(-96)}}^{2}}-{{4}^{2}}}}}}{8}

\displaystyle x=\frac{{96\pm \sqrt{{9216-16}}}}{8}

\displaystyle x=\frac{{96\pm \sqrt{{9200}}}}{8}

\displaystyle x=\frac{{96\pm \sqrt{{20\text{x }20}}\text{x }23}}{8}

\displaystyle {96\pm 2x=\frac{{96\pm \sqrt{{20\text{x }20}}\text{x }23}}{8}}

\displaystyle x=\frac{{(4\text{x }24)\pm (4\text{x }5)\sqrt{{23}}}}{8}

\displaystyle x=\frac{{\text{ }24\pm 5\sqrt{{23}}}}{8}

now ,

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Similarly, see the solution of other questions for example,

How to solve x +32-1x – 3 x 2. 4 x+9 ?

While solving these types of questions, we should solve them by looking at their symbols carefully,

\displaystyle x+32-1x-3\text{x2x}4x+9

\displaystyle x+32-1x-6\text{x}4x+9

\displaystyle x+32-1x-24x+9

\displaystyle x-1x-24x+9+32

\displaystyle x-25x+9+32

\displaystyle -24x+9+32

\displaystyle -24x+41

suppose,

\displaystyle -24x+41=0

then on transposition

\displaystyle -24x=-41

\displaystyle x=\frac{{-41}}{{-24}}