How to solve x x – 3 x 2. 4 x+1/4 ?

Hello friends,
Welcome to my article Solve for x x – 3 x 2. 4 x+1/4
This article is taken from the simplification lesson, in this article we have been told how to solve the problem easily by doing addition, subtraction, multiplication, division and fractionation.or complete information on how to solve this x x – 3 x 2. 4 x+1/4 read and understand it carefully.

Let us read / understand about this article 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 ,

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

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

This article x x – 3 x 2. 4 x+1/4has been completely solved by tireless effort from our side, still if any error remains in it then definitely write us your opinion in the comment box. If you like or understand the methods of solving all the questions in this article, then send it to your friends who are in need.

See also  How to solve 3[4/6]-45+10/2+456=?

Note: If you have any such question, then definitely send it by writing in our comment box to get the answer.
Your question will be answered from our side.

Thank you once again from our side for reading or understanding this article completely.

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}}

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

mathwaycalulus

This article x +32-1x – 3 x 2. 4 x+9 has been completely solved by tireless effort from our side, still if any error remains in it then definitely write us your opinion in the comment box. If you like or understand the methods of solving all the questions in this article, then send it to your friends who are in need.

Note: If you have any such question, then definitely send it by writing in our comment box to get the answer.
Your question will be answered from our side.

Thank you once again from our side for reading or understanding this article completely.

Leave a Comment