A quadratic equation is a polynomial equation which
includes a variable with a high degree. In algebra, the equation includes some
numbers and a variable. The value of a variable is lies between the quadrates.
The number of values of the variable is completely
dependent on the degree of it. If the equation includes a higher degree of two than there are 2 values are
available of unknowns. To solve quadratic equations, you need to follow some
rules, but it usually takes more time. In competitive exams, the time plays an
important role to qualify it. We cannot spend a lot of time on single questions. That is why it is best to
know the tricks to solve quadratic equations.

Before going to solve any example, first, understand the
basics of it,

Consider some example like

In the first equation, the higher degree of a variable is
2, and in the second one, the higher degree is 3. So we may get the value of x
2 and 3 respectively.

The
standard form of quadratic equation is ax²+bx+c=0

So, we can find out the value of x by the formula as, X =

If we consider the second 2x³
+12x +8=0 then it can be solved by above
equations

The values a, b and c According to the standard form of a
quadratic equation, the value is found as compare both standard and question
questions.

After comparing the equation we have a = 2, b = 12 and c
= 8

Put the values of a, b, and c. You will get the value of
x. The positive and negative sign shows two values of the single variables.

= (-3±√80)

Now you have two values of x that is positive (-3+√80)
and (-3-√80)

But it is the complex method to solve the equation and
takes a lot of time to

**solve**quadratic equations. If you need to solve these equations in the least time duration or within a minute, then use some tricks. The trick can help you to solve it in the least time.
First consider there some sign to get their answers.

If
you have equation like

ax²
+ bx + c= 0

ax²+ bx -c= 0

ax²- bx + c= 0

ax²- bx –c =0

Consider these signs to know their value signs.

First equation variable values include (-, -)

2nd includes (- , +)

3rd includes (+, +)

4th includes (+,-)

Consider an example to understand this trick to solve quadratic equations.

Now find the coefficient by multiplying x²and 3 coefficients.
2x3 may write as 6x1, and the result will be achieved by 6 and -1

The final root may divide by the 2 which is the x² coefficient.

Now you have 6/2 and -1/2

You have roots (3, 0.5)

But the sign shows (-, +) and according to the trick you
must have root (-3, 0.5)

This is a very short
trick to get the root of unknown variables. The trick
needs to only 30 to 60 seconds to solve quadratic equations. If you are looking the best method to solve quadratic
problems in less than a minute then must apply this trick which requires least time.

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