Question

help !


$\quad \sf \: {x}^{2} = 1$

find the value of x ​

Answer 1

Answer:

$x=1$

$x=-1$

Step-by-step explanation:

 Let's use the quadratic formula to solve this.

  Quadratic formula is usually defined as the formula for determining the   roots of a quadratic equation from its coefficient. Quadratic equations are  equations containing a single variable of degree 2. Its general form is ax^2   + bx + c = 0, where x is the variable, and a,b, and c are constants (a ≠ 0).

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steps

     1 ) move terms to the left side

                                $x^2=1$

                            $x^2-1=0$

        2) Use the quadratic formula

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

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

     $x^2-1=0$

        $a =1 \\b = 0\\c=-1$

      $x=\frac{-0\pm\sqrt{0^2-4*1(-1)} }{2*1}$

    3) Simplify

           

 - evaluate the exponent

$x=\frac{0\pm\sqrt{0^2-4*1(-1)} }{2*1}$

$x=\frac{0\pm\sqrt{0-4*1(-1)} }{2*1}$

 -   Multiply the numbers

 $x=\frac{0\pm\sqrt{0-4*1(-1)} }{2*1}$

$x=\frac{0\pm\sqrt{0+4} }{2*1}$

- add the numbers

     $x=\frac{0\pm\sqrt{0+4} }{2*1}$

    $x=\frac{0\pm\sqrt{4} }{2*1}$

-  Evaluate the square root

 $x=\frac{0\pm\sqrt{4} }{2*1}$

$x=\frac{0\pm2}{2*1}$

- add zero

 $x=\frac{0\pm2}{2*1}$

  $x=\frac{\pm2}{2*1}$

-  Multiply the numbers

 $x=\frac{\pm2}{2*1}$

 $x=\frac{\pm2}{2}$

   4) separate the equations

     

  -  To solve for the unknown variable, separate into two equations: one with a plus and the other with a minus.

                  $x=\frac{2}{2}\\x=\frac{-2}{2}$

          5) solve

 - Rearrange and isolate the variable to find each solution

    $x=1\\x=-1$        

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solution

$x=1\\x=-1$