Question

Find the answer
x²=144
x=?​

Answer 1

Answer:

x=-12 and +12

Step-by-step explanation:

because x is having degree 2 so it should have two zeros

Answer 2

Given that:- $x^2=144$

To find:- The value of 'x',

Move the constant terms to the left side, we get

$=>x^2-144=0$

By using the quadratic formula,

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

From the equation, we have the values

$a=1,b=0,c=-144$

Now, by putting these values in the formula we get,

$=>x=\frac{-0\pm\sqrt{0^2-4\times 1\times(-144)} }{2\times1}$

By evaluating the exponent,

$=>x=\frac{-0\pm\sqrt{0-4\times 1\times(-144)} }{2\times1}$

$=>x=\frac{-0\pm\sqrt{0+576} }{2\times1}$

By solving the under root term,

$=>x=\frac{-0\pm24 }{2\times1}$

$=>x=\frac{\pm24 }{2}$

By separating the terms,

$=>x=\frac{24}{2}$ and $x=-\frac{24}{2}$

$=>x=12$ and $x=-12$

Hence, the required value of x is $12$ and $-12$ respectively.